Question 1

Express the indicated degree of likelihood as a probability value.
-"You have a 50-50 chance of choosing the correct answer."

Accepted Answer

A) 0.9 
B) 0.25 
C) 50 
D) 0.50 
A) 0.9 
B) 0.25 
C) 50 
D) 0.50

Question 2

Solve the problem.
-A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 5 questions on the survey?

Accepted Answer

A) 24 
B) 25 
C) 120 
D) 5 
A) 24 
B) 25 
C) 120 
D) 5

Question 3

Provide an appropriate response.
-Discuss the range of possible values for probabilities. Give examples to support each.

Accepted Answer

Probabilities range between 0 and 1. P(A

Question 4

A sample of 4 different calculators is randomly selected from a group containing 15 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective?

Accepted Answer

A) 0.150 
B) 0.184 
C) 0.816 
D) 0.802 
A) 0.150 
B) 0.184 
C) 0.816 
D) 0.802

Question 5

Answer the question
-Find the odds against correctly guessing the answer to a multiple choice question with 4 possible answers.

Accepted Answer

A) 4 : 1 
B) 3 : 1 
C) 3 : 4 
D) 4 : 3 
A) 4 : 1 
B) 3 : 1 
C) 3 : 4 
D) 4 : 3

Question 6

Solve the problem.
-There are 8 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible?

Accepted Answer

A) 6720 
B) 56 
C) 32,768 
D) 120 
A) 6720 
B) 56 
C) 32,768 
D) 120

Question 7

Provide an appropriate response.
-$\frac { 13 } { 8 }$ On an exam on probability concepts, Sue had an answer of for one problem. Explain how she knew that this result was incorrect.

Accepted Answer

Probabilit

Question 8

Find the indicated probability
-Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.

Accepted Answer

A)  $ \frac{1}{8} $ 
B)  $ \frac{2}{3} $ 
C)  $ \frac{1}{9} $ 
D)  $ \frac{3}{2} $ 
A)  $ \frac{1}{8} $ 
B)  $ \frac{2}{3} $ 
C)  $ \frac{1}{9} $ 
D)  $ \frac{3}{2} $

Question 9

Use a graphing calculator to develop a simulation of the given problem (100 trials). Describe the simulation, then
estimate the probability based on its results.
-The probability of getting at least two boys in a family of seven children.

Accepted Answer

Answers may vary. Begin by representing

Question 10

Determine whether the events are mutually exclusive.
-A study of consumer smoking habits includes 168 people in the 18-22 age bracket (48 of whom smoke), 131 people in the 23-30 age bracket (36 of whom smoke), and 99 people in the 31-40 age bracket (28 of whom smoke). If one person is randomly selected from this sample, find the probability of getting someone who is age 18-22 or does not smoke.

Accepted Answer

A) 1.141 
B) 0.714 
C) 0.302 
D) 0.839 
A) 1.141 
B) 0.714 
C) 0.302 
D) 0.839

Question 11

Find the indicated probability.
-A: A Chicagoan visits New York on vacation. B: He visits Central Park.

Accepted Answer

A) Independent 
B) Dependent 
A) Independent 
B) Dependent

Question 12

Determine whether the events are mutually exclusive.
-100 employees of a company are asked how they get to work and whether they work full time or part time. The figure below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.   1. Public transportation: 9 full time, 6 part time 2. Bicycle: 4 full time, 5 part time 3. Drive alone: 31 full time, 30 part time 4. Carpool: 7 full time, 8 part time

Accepted Answer

A) 0.66 
B) 0.25 
C) 0.59 
D) 0.53 
A) 0.66 
B) 0.25 
C) 0.59 
D) 0.53

Question 13

Determine whether the events are mutually exclusive.
-If $\mathrm { P } ( \mathrm { A } ) = \frac { 10 } { 11 }$, find $\mathrm { P } ( \overline { \mathrm { A } } )$.

Accepted Answer

A)  $\frac { 1 } { 11 }$ 
B)  0 
C)  $\frac { 11 } { 10 }$ 
D)  $\frac { 10 } { 21 }$ 
A)  $\frac { 1 } { 11 }$ 
B)  0 
C)  $\frac { 11 } { 10 }$ 
D)  $\frac { 10 } { 21 }$

Question 14

11 wrestlers compete in a competition. If each wrestler wrestles one match with each other wrestler, what are the total numbers of matches?

Accepted Answer

A) 132 
B) 110 
C) 55 
D) 66 
A) 132 
B) 110 
C) 55 
D) 66

Question 15

In a blood testing procedure, blood samples from 5 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.09, what is the probability that the mixture will test positive?

Accepted Answer

A) 0.624 
B) 1.00 
C) 0.376 
D) 0.00000590 
A) 0.624 
B) 1.00 
C) 0.376 
D) 0.00000590

Question 16

Determine whether the events are mutually exclusive.
-A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 5 wood and 10 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.

Accepted Answer

A) 0.525 
B) 0.075 
C) 0.55 
D) There is insufficient information to answer the question. 
A) 0.525 
B) 0.075 
C) 0.55 
D) There is insufficient information to answer the question.

Question 17

Determine whether the events are mutually exclusive.
-The table below describes the smoking habits of a group of asthma sufferers. $$\begin{array} { r | c c c c r } 
&& \text { Occasional } & \text { Regular } &{ \text { Heavy } } \
& \text { Nonsmoker } & \text { smoker } &\text { smoker }&\text { smoker }& \text { Total } \ 
\hline \text { Men } & 370 & 45 & 61 & 39 & 515 \
\text { Women } & 443 & 39 & 84 & 38 & 604 \
\text { Total } & 813 & 84 & 145 & 77 & 1119
\end{array}$$ If one of the 1119 people is randomly selected, find the probability of getting a regular or heavy smoker.

Accepted Answer

A) 0.198 
B) 0.130 
C) 0.450 
D) 0.089 
A) 0.198 
B) 0.130 
C) 0.450 
D) 0.089

Question 18

Provide an appropriate response.
-Describe an event whose probability of occurring is 1 and explain what that probability means. Describe an event whose probability of occurring is 0 and explain what that probability means.

Accepted Answer

Probability = 1, anything that

Question 19

Find the indicated probability
-A sample space consists of 13 separate events that are equally likely. What is the probability of each?

Accepted Answer

A) 1 
B) 0 
C) 13 
D)  $\frac { 1 } { 13 }$ 
A) 1 
B) 0 
C) 13 
D)  $\frac { 1 } { 13 }$

Question 20

Provide a written description of the complement of the given event.
-When several textbooks are returned from editing, none of the books are found to be errorless.

Accepted Answer

A) None of the textbooks are errorless. 
B) At least one of the textbooks is errorless. 
C) All of the textbooks are errorless. 
A) None of the textbooks are errorless. 
B) At least one of the textbooks is errorless. 
C) All of the textbooks are errorless.

Express the indicated degree of likelihood as a probability value. -"You have a 50-50 chance of choosing the correct answer."

Solve the problem. -A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 5 questions on the survey?

Provide an appropriate response. -Discuss the range of possible values for probabilities. Give examples to support each.

A sample of 4 different calculators is randomly selected from a group containing 15 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective?

Answer the question -Find the odds against correctly guessing the answer to a multiple choice question with 4 possible answers.

Solve the problem. -There are 8 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible?

Provide an appropriate response. - $\frac { 13 } { 8 }$ On an exam on probability concepts, Sue had an answer of for one problem. Explain how she knew that this result was incorrect.

Find the indicated probability -Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.

Use a graphing calculator to develop a simulation of the given problem (100 trials). Describe the simulation, then estimate the probability based on its results. -The probability of getting at least two boys in a family of seven children.

Find the indicated probability. -A: A Chicagoan visits New York on vacation. B: He visits Central Park.

Determine whether the events are mutually exclusive. -If $\mathrm { P } ( \mathrm { A } ) = \frac { 10 } { 11 }$ , find $\mathrm { P } ( \overline { \mathrm { A } } )$ .

11 wrestlers compete in a competition. If each wrestler wrestles one match with each other wrestler, what are the total numbers of matches?

In a blood testing procedure, blood samples from 5 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.09, what is the probability that the mixture will test positive?

Determine whether the events are mutually exclusive. -A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 5 wood and 10 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.

Provide an appropriate response. -Describe an event whose probability of occurring is 1 and explain what that probability means. Describe an event whose probability of occurring is 0 and explain what that probability means.

Find the indicated probability -A sample space consists of 13 separate events that are equally likely. What is the probability of each?

Provide a written description of the complement of the given event. -When several textbooks are returned from editing, none of the books are found to be errorless.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Exam 4: Probability

Express the indicated degree of likelihood as a probability value. -"You have a 50-50 chance of choosing the correct answer."

Solve the problem. -A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 5 questions on the survey?

Provide an appropriate response. -Discuss the range of possible values for probabilities. Give examples to support each.

A sample of 4 different calculators is randomly selected from a group containing 15 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective?

Answer the question -Find the odds against correctly guessing the answer to a multiple choice question with 4 possible answers.

Solve the problem. -There are 8 members on a board of directors. If they must form a subcommittee of 5 members, how many different subcommittees are possible?

Provide an appropriate response. - 138\frac { 13 } { 8 }813​ On an exam on probability concepts, Sue had an answer of for one problem. Explain how she knew that this result was incorrect.

Find the indicated probability -Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.

Use a graphing calculator to develop a simulation of the given problem (100 trials). Describe the simulation, then estimate the probability based on its results. -The probability of getting at least two boys in a family of seven children.

Find the indicated probability. -A: A Chicagoan visits New York on vacation. B: He visits Central Park.

Determine whether the events are mutually exclusive. -If P(A)=1011\mathrm { P } ( \mathrm { A } ) = \frac { 10 } { 11 }P(A)=1110​ , find P(A‾)\mathrm { P } ( \overline { \mathrm { A } } )P(A) .

11 wrestlers compete in a competition. If each wrestler wrestles one match with each other wrestler, what are the total numbers of matches?

In a blood testing procedure, blood samples from 5 people are combined into one mixture. The mixture will only test negative if all the individual samples are negative. If the probability that an individual sample tests positive is 0.09, what is the probability that the mixture will test positive?

Determine whether the events are mutually exclusive. -A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 5 wood and 10 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.

Provide an appropriate response. -Describe an event whose probability of occurring is 1 and explain what that probability means. Describe an event whose probability of occurring is 0 and explain what that probability means.

Find the indicated probability -A sample space consists of 13 separate events that are equally likely. What is the probability of each?

Provide a written description of the complement of the given event. -When several textbooks are returned from editing, none of the books are found to be errorless.

Introduction to Statistics

Summarizing and Graphing Data

Statistics for Describing, Exploring, and Comparing Data

Probability Distributions

Normal Probability Distributions

Estimates and Sample Sizes

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Multinomial Experiments and Contingency Tables

Analysis of Variance

Nonparametric Statistics

Statistical Process Control

Filters

Provide an appropriate response. - $\frac { 13 } { 8 }$ On an exam on probability concepts, Sue had an answer of for one problem. Explain how she knew that this result was incorrect.

Determine whether the events are mutually exclusive. -If $\mathrm { P } ( \mathrm { A } ) = \frac { 10 } { 11 }$ , find $\mathrm { P } ( \overline { \mathrm { A } } )$ .