Exam Prep Probability Chapter.4

Introductory Statistics, 10e (Mann)

Chapter 4 Probability

4.1 Experiment, Outcome, and Sample Space

1) A statistical experiment is a process that, when performed:

A) results in one and only one of two observations

B) results in at least two of many observations

C) may not lead to the occurrence of any outcome

D) results in one and only one of all possible observations

Diff: 1

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 001

2) A sample point is:

A) a collection of many sample spaces

B) a point that represents a population in a sample

C) an element of a sample space

D) a collection of observations

Diff: 1

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 002

3) An event:

A) is the same as a sample space

B) includes exactly one outcome

C) includes one or more outcomes

D) includes all possible outcomes

Diff: 1

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 003

4) A simple event:

A) is a collection of exactly two outcomes

B) includes one and only one outcome

C) does not include any outcome

D) includes all possible outcomes

Diff: 1

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 004

5) A compound event includes:

A) at least three outcomes

B) at least two outcomes

C) one and only one outcome

D) all outcomes of an experiment

Diff: 1

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 005

6) The experiment of tossing a coin 3 times has:

A) 2 outcomes

B) 8 outcomes

C) 6 outcomes

D) 5 outcomes

Diff: 2

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 006

7) A box contains a few red, a few black, and a few white marbles. Two marbles are randomly drawn from this box and the color of these marbles is observed. The total number of outcomes for this experiment is:

A) 3

B) 6

C) 9

D) you can't tell until you know exactly how many marbles are in the box

Diff: 1

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 007

8) You randomly select two households and observe whether or not they own an espresso machine. Which of the following is a simple event?

A) YN or NY

B) YN or NY or YY

C) YN or NY or NN

D) NN

Diff: 1

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 008

9) You toss a coin nine times and observe 2 heads and 7 tails. Consider the event of tossing a tails in a single toss. This event is a:

A) compound event

B) simple event

C) multiple outcome

D) composite events

Diff: 1

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 009

10) Friends will be called, one after another, and asked to go on a weekend trip with you. You will call until one agrees to go (A) or four friends are asked. Which of the following is the correct tree diagram for the sample space for this experiment?

A)

B)

C)

D)

Diff: 2

LO: 4.1.0 Demonstrate an understanding of a sample space and outcomes in a statistical experiment.

Section: 4.1 Experiment, Outcome, and Sample Space

Question Title: Chapter 04, Testbank Question 010

4.2 Calculating Probability

1) The probability of an event is always:

A) greater than zero

B) less than 1

C) in the range 0 to 1

D) greater than 1

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 011

2) According to the relative frequency concept of probability, the probability of an event is:

A) one divided by the total number of outcomes for the experiment

B) the number of times the given event is observed divided by the total number of repetitions of the experiment

C) the number of outcomes favorable to the given event multiplied by the total number of outcomes in the sample space

D) the total number of outcomes in the sample space divided by the number of outcomes favorable to the given event

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 012

3) You select one person from a group of eight males and two females. The two events "a male is selected" and "a female is selected" are:

A) independent

B) equally likely

C) not equally likely

D) collectively exhaustive

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 013

4) Which of the following values cannot be the probability of an event?

A) 0.33

B) 2.47

C) 0.25

D) 1.00

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 014

5) When a person makes an educated guess about the likelihood that an event will occur, it is an example of:

A) conditional probability

B) marginal probability

C) subjective probability

D) classical probability

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 015

6) According to the classical concept of probability, the probability of a compound event is:

A) one divided by the total number of outcomes for the experiment

B) the number of times the given event is observed divided by the total number of repetitions of the experiment

C) the number of outcomes favorable to the given event divided by the total number of outcomes for the experiment

D) the total number of outcomes in the sample space divided by the number of outcomes favorable to the given event

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 016

7) The Law of ________ states that if an experiment is repeated again and again, the probability of an event obtained from the relative frequency approaches the actual probability.

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 017

8) In a group of 72 students, 22 are seniors. If you select one student randomly from this group, the probability (rounded to three decimal places) that this student is a senior is:

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 018

9) In a group of 439 families, 272 own homes. If you select one family randomly from this group, the probability (rounded to three decimal places) that this family owns a house is:

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 019

10) You roll an unbalanced die 550 times, and a 3-spot is obtained 110 times. The probability (rounded to three decimal places) of not obtaining a 3-spot for this die is approximately:

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 020

11) A quality control staff selects 241 items from the production line of a company and finds 23 defective items. The probability (rounded to three decimal places) that an item manufactured by this company is not defective is:

Diff: 1

LO: 4.2.0 Demonstrate an understanding of the basic properties of probability along with the three conceptual approaches to probability.

Section: 4.2 Calculating Probability

Question Title: Chapter 04, Testbank Question 021

4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

1) A conditional probability is a probability:

A) of a sample space based on a certain condition

B) that an event will occur given that another event has already occurred

C) that an event will occur based on the condition that no other event is being considered

D) that an event will occur based on the condition that all other events have already occurred

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 022

2) A marginal probability is a probability of:

A) a sample space

B) an outcome when another outcome has already occurred

C) a single event without considering any other event

D) an experiment calculated at the margin

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 023

3) Two mutually exclusive events:

A) always occur together

B) can sometimes occur together

C) cannot occur together

D) can occur together, provided one has already occurred

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 024

4) Two events are independent if the occurrence of one event:

A) affects the probability of the occurrence of the other event

B) does not affect the probability of the occurrence of the other event

C) means that the second event cannot occur

D) means that the second event is certain to occur

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 025

5) Two complementary events:

A) taken together do not include all outcomes for an experiment

B) taken together include all outcomes for an experiment and have no common outcomes

C) can occur together

D) are not mutually exclusive

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 026

6) Events A and B are independent if:

A) P(A) is equal to P(B)

B) P(B|A) is equal to P(A)

C) P(A|B) is equal to P(A)

D) P(A|B) is equal to P(B)

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 027

7) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

If you randomly select one student from these 500 students, the probability that this selected student is a female is: (round your answer to three decimal places)

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 028

8) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety is: (round your answer to three decimal places)

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 029

9) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

If you randomly select one student from these 500 students, the probability that this selected student suffers from math anxiety, given that this student is a male is: (Round your answer to three decimal places.)

Diff: 2

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 030

10) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

If you randomly select one student from these 500 students, the probability that this selected student is a female, given that this student does not suffer from math anxiety is: (Round your answer to three decimal places.)

Diff: 2

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 031

11) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

Which of the following pairs of events are mutually exclusive?

A) No and yes

B) Female and no

C) Female and yes

D) Male and no

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 032

12) The following table gives the two-way classification of 500 students based on sex and whether or not they suffer from math anxiety.

Are the events "Has math anxiety" and "Person is female" independent or dependent? Detail the calculations you performed to determine this.

P(Has math anxiety) = 0.670

P(Has math anxiety | Female) = 0.494

Since P(Has math anxiety | Female) is different from P(Has math anxiety), the two variables are not independent.

Diff: 2

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 033

13) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected adult is a male. (Round your answer to three decimal places.)

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 034

14) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected adult says Democrats have better domestic economic policies. (Round your answer to three decimal places.)

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 035

15) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected adult is a female given that the adult thinks that Republicans have better domestic economic policies. (Round your answer to three decimal places.)

Diff: 2

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 036

16) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected adult has no opinion given that the adult is a male. (Round your answer to three decimal places.)

Diff: 2

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 037

17) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Which of the following pairs of events are mutually exclusive?

A) Female and democrat

B) Female and no opinion

C) Female and republican

D) Democrat and no opinion

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 038

18) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Are the events "Democrat" and "Female" independent or dependent? Detail the calculations you performed to determine this.

P(Democrat) = 0.540

P(Democrat | Female) = 0.391

Since P(Democrat | Female) is different from P(Democrat), the events cannot be independent.

Diff: 2

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 039

19) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The pollster then randomly selected one adult from these 1,000 adults.

Find the probability that the randomly selected has no opinion. (Round your answer to 2 decimal places.)

Diff: 1

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 040

20) From the probabilities shown in this Venn diagram, determine the probability A does not occur.

Diff: 2

LO: 4.3.0 Demonstrate an understanding of marginal and conditional probability, mutually exclusive events, and independent versus dependent events.

Section: 4.3 Marginal Probability, Conditional Probability, and Related Probability Concepts

Question Title: Chapter 04, Testbank Question 041

4.4 Intersection of Events and the Multiplication Rule

1) If P(A and B) = P(A) × P(B), then events A and B are

A) complementary

B) mutually exclusive

C) independent

D) subjective

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 042

2) The intersection of two events A and B is made up of the outcomes that are:

A) either in A or in B or in both A and B

B) common to both A and B

C) either in A or in B, but not both

D) not common to both A and B

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 043

3) The probability of the intersection of two events A and B is given by:

A) P(A) + P(B)

B) P(A) + P(B) - P(A and B)

C) P(A) × P(A|B)

D) P(A) × P(B|A)

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 044

4) The joint probability of two independent events A and B is:

A) P(A) + P(B)

B) P(A) + P(B) + P(A or B)

C) P(A) × P(B)

D) P(A) × P(A|B)

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 045

5) The joint probability of two mutually exclusive events is always equal to:

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 046

6) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The joint probability (rounded to three decimal places) of events "Republicans" and "Male" is:

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 047

7) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Find the probability (rounded to three decimal places) that a randomly selected adult from these 1,000 adults is a female and holds the opinion that Democrats have better domestic policies.

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 048

8) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The joint probability (rounded to three decimal places) of events "Male" and "No Opinion" is:

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 049

9) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

The joint probability (rounded to three decimal places) of events and is:

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 050

10) In a class of 43 students, 9 are math majors. The teacher selects two students at random from this class. The probability (to three decimal places) that both of them are math majors is:

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 051

11) The athletic department of a school has 14 full-time coaches, and 4 of them are female. The director selects two coaches at random from this group. The probability (to three decimal places) that neither of them is a female is:

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 052

12) The probability that a physician is a pediatrician is 0.21. The administration selects two physicians at random. The probability (rounded to three decimal places) that neither of them is a pediatrician is:

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 053

13) The probability that an adult possesses a credit card is 0.68. A researcher selects two adults at random. The probability (rounded to three decimal places) that one adult possesses a credit card and the other adult does not possess a credit card is:

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 054

14) The probability that a physician is a pediatrician is 0.22. The administration selects three physicians at random. The probability (rounded to three decimal places) that two of them are pediatricians is:

Diff: 3

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 055

15) The probability that an adult possesses a credit card is 0.78. A researcher selects four adults at random. The probability (rounded to three decimal places) that three of the four adults possess a credit card is:

Diff: 3

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 056

16) The probability that a person is a college graduate is 0.33 and that he/she has high blood pressure is 0.16. Assuming that these two events are independent, the probability (to four decimal places) that a person selected at random is a college graduate and has high blood pressure is:

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 057

17) The probability that a corporation made profits in 2019 is 0.81 and the probability that a corporation made charitable contributions in 2019 is 0.33. Assuming that these two events are independent, the probability (rounded to 4 decimal places) that a corporation made profits in 2019 and made charitable contributions in 2019 is:

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 058

18) The probability that an employee of a company is a male is 0.61 and the joint probability that an employee of this company is a male and single is 0.22. The probability (rounded to three decimal places) that a randomly selected employee of this company is single given he is a male is:

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 059

19) The probability that a farmer is in debt is 0.71. The joint probability that a farmer is in debt and lives in the Midwest is 0.19. The probability (rounded to three decimal places) that a randomly selected farmer lives in the Midwest, given that he is in debt is:

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 060

20) The probability that a person drinks at least five cups of coffee per day is 0.26, and the probability that a person has high blood pressure is 0.08. Assuming that these two events are independent, find the probability (to four decimal places) that a person selected at random drinks less than five cups of coffee per day and has high blood pressure.

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 061

21) From the probabilities shown in this Venn diagram, determine the probability that event A occurs and event B does not occur.

Diff: 2

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 062

22) The probability of rolling a 4 on a die and flipping tails on a coin at the same time is:

Diff: 1

LO: 4.4.0 Demonstrate an understanding of the multiplication rule and joint probability.

Section: 4.4 Intersection of Events and the Multiplication Rule

Question Title: Chapter 04, Testbank Question 063

4.5 Union of Events and the Addition Rule

1) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Find the probability (rounded to three decimal places) that a randomly selected adult is a female or thinks that Democrats have better domestic economic policies.

Diff: 2

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 064

2) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Find the probability (rounded to three decimal places) that a randomly selected adult has no opinion or is a male.

Diff: 2

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 065

3) A pollster asked 1000 adults whether Republicans or Democrats have better domestic economic policies. The following table gives the two-way classification of there opinions.

Find the probability that a randomly selected adult is a male or does not think that Democrats have better domestic economic policies. (Round your answer to 3 decimal places.)

Diff: 3

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 066

4) The probability that a person is a college graduate is 0.38 and that he/she has high blood pressure is 0.13. Assuming that these two events are independent, the probability (to four decimal places) that a person selected at random is a college graduate or has high blood pressure is:

Diff: 3

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 067

5) The probability that a corporation made profits in 2019 is 0.79 and the probability that a corporation made charitable contributions in 2019 is 0.33. Assuming that these two events are independent, the probability (rounded to 4 decimal places) that a corporation made profits in 2019 or made charitable contributions in 2019, but not both is:

Diff: 3

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 068

6) The union of two events A and B represents the outcomes that are:

A) either in A or in B or in both A and B

B) common to both A and B

C) neither in A nor in B

D) not common to both A and B

Diff: 1

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 069

7) The probability of the union of two events A and B is the probability that:

A) neither event A happens nor event B happens

B) both events do not happen together

C) both events A and B happen together

D) either event A or event B or both A and B happen

Diff: 1

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 070

8) The probability of the union of two events A and B is:

A) P(A) + P(B) + P(A and B)

B) P(A) + P(B) - P(A and B)

C) P(A)P(B|A)

D) P(A)P(A|B)

Diff: 1

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 071

9) The probability of the union of two events A and B, that are mutually exclusive, is:

A) P(A) + P(B)

B) P(A) - P(B) + P(A and B)

C) P(A) + P(B) - P(A and B)

D) P(A) + P(B) + P(A and B)

Diff: 1

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 072

10) The probability that a student at a university is a male is 0.46, that a student is a business major is 0.13, and that a student is a male and a business major is 0.09. The probability that a randomly selected student from this university is a male or a business major is:

Diff: 2

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 073

11) The probability that a family has at least one child is 0.78, that a family owns a security system is 0.16, and that a family has at least one child and owns a security system is 0.07. The probability that a randomly selected family has at least one child or owns a security system is:

Diff: 2

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 074

12) 48% of the voters are in favor of limiting the number of terms for senators and congressmen, 32% are against it, and 20% have no opinion. If a pollster selects one voter at random, the probability (to two decimal places) that this voter is either in favor of limiting the number of terms for senators and congressmen or has no opinion is:

Diff: 1

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 075

13) A company has a total of 571 male employees. Of them, 127 are single, 283 are married, 124 are either divorced or separated, and 37 are widowers. If management selects one male employee at random from the company, the probability (rounded to three decimal places) that this employee is married or a widower is:

Diff: 1

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 076

14) A consume researcher inspects 300 batteries manufactured by two companies for being good or defective. The following table gives the two-way classification of these 300 batteries.

If the researcher selects one battery at random from these 300 batteries, the probability (rounded to three decimal places) that this battery is good or made by company B is:

Diff: 2

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 077

15) A consume researcher inspects 300 batteries manufactured by two companies for being good or defective. The following table gives the two-way classification of these 300 batteries.

If the researcher selects one battery at random from these 300 batteries, the probability (rounded to three decimal places) that this battery is defective or made by company A is:

Diff: 2

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 078

16) A consume researcher inspects 300 batteries manufactured by two companies for being good or defective. The following table gives the two-way classification of these 300 batteries.

If the researcher selects one battery at random from these 300 batteries, the probability (rounded to three decimal places) that this battery is good or made by company A is:

Diff: 2

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 079

17) The probability that a person drinks at least five cups of coffee per day is 0.24, and the probability that a person has high blood pressure is 0.08. Assuming that these two events are independent, find the probability (to four decimal places) that a person selected at random drinks less than five cups of coffee per day and has high blood pressure.

Diff: 3

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 080

18) From the probabilities shown in this Venn diagram, determine the probability that exactly one of the events A and B occurs.

Diff: 2

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 081

19) Given the table.

What is the probability that a randomly selected Male will answer "Yes" or "No"?

Diff: 1

LO: 4.5.0 Demonstrate an understanding of the addition rule and the probability of the union of events.

Section: 4.5 Union of Events and the Addition Rule

Question Title: Chapter 04, Testbank Question 082

4.6 Counting Rule, Factorials, Combinations, and Permutations

1) The total number of outcomes for 2 rolls of a 6-sided die is:

Diff: 2

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 083

2) A woman owns 10 blouses, 10 skirts, and 8 pairs of shoes. She will randomly select one blouse, one skirt, and one pair of shoes to wear on a certain day. The total number of possible outcomes is:

Diff: 2

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 084

3) In general, "n factorial" represents:

A) the product of any n numbers

B) the sum of all integers from n to 1

C) the product of all integers from n to 1

D) n - 1

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 085

4) The factorial of zero is:

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 086

5) 8! = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 087

6) (15 - 7)! = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 088

7) (14 - 14)! = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 089

8) (9 - 0)! = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 090

9) The number of combinations for selecting 6 elements from 11 distinct elements is:

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 091

10) = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 092

11) = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 093

12) = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 094

13) A court randomly selects a jury of 8 persons from a group of 15 persons. The total number of combinations is:

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 095

14) An investor randomly selects 8 stocks from 16 stocks for an investment portfolio. The total number of combinations is:

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 096

15) The number of permutations for selecting 5 elements from 12 distinct elements is:

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 097

16) = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 098

17) = ________

Diff: 1

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 099

18) You have 10 books on your to-read list. You are selecting three of them to take on the cruise. The first book selected will be read first, the second book selected will be read second, and the third book selected will be read third. Thus, the order in which the 3 books are selected from the 10 books is important. Find the total number of arrangements of 3 books from these 10.

A) 3,628,800

B) 6

C) 720

D) 90

Diff: 2

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 100

19) A sailing club has 16 members and is voting for officers. The first person voted in will be Commodore. The second person voted in will be Vice Commodore. The third person voted in will be Treasurer. The fourth person voted in will be Secretary. Thus, the order in which the 4 people are voted in from the 16 members is important. Find the total number of ways 4 officers can be voted in from the 16 members.

Diff: 2

LO: 4.6.0 Demonstrate an understanding of the counting rule, factorials, combinations, and permutations.

Section: 4.6 Counting Rule, Factorials, Combinations, and Permutations

Question Title: Chapter 04, Testbank Question 101

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