Question 1

Provide an appropriate response.
-What important question must you answer before computing an "or" probability? How does the answer influence your computation?

Accepted Answer

Are the events mutually exclus

Question 2

Provide a written description of the complement of the given event.
-When 10 adults are tested for high blood pressure, at least one of the results are positive.

Accepted Answer

A) None of the adults have high blood pressure. 
B) Nine of the adults have high blood pressure. 
C) All of the adults have high blood pressure. 
A) None of the adults have high blood pressure. 
B) Nine of the adults have high blood pressure. 
C) All of the adults have high blood pressure.

Question 3

Determine whether the events are mutually exclusive.
-If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.

Accepted Answer

A)  $\frac { 334 } { 365 }$ 
B)  $\frac { 31 } { 334 }$ 
C)  $\frac { 11 } { 12 }$ 
D)  $\frac { 31 } { 365 }$ 
A)  $\frac { 334 } { 365 }$ 
B)  $\frac { 31 } { 334 }$ 
C)  $\frac { 11 } { 12 }$ 
D)  $\frac { 31 } { 365 }$

Question 4

The table below shows the soft drinks preferences of people in three age groups. $\begin{array}{r|ccc} 
& \text { cola } & \text { root beer } & \text { lemon-1me } \
\hline \text { under 21 years of age } & 40 & 25 & 20 \
\text { between 21 and 40 } & 35 & 20 & 30 \
\text { over 40 years of age } & 20 & 30 & 35
\end{array}$
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age given th drink root beer.

Accepted Answer

A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 6 } { 17 }$ 
C)  $\frac { 5 } { 17 }$ 
D)  None of the above is correct. 
A)  $\frac { 2 } { 5 }$ 
B)  $\frac { 6 } { 17 }$ 
C)  $\frac { 5 } { 17 }$ 
D)  None of the above is correct.

Question 5

Determine whether the events are mutually exclusive
-Read a book by Mark Twain. Read about Tom Sawyer.

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 6

Provide an appropriate response.
-Discuss the differences, both in applications and in the formulas, for combinations and permutations. Give an example of each.

Accepted Answer

Answers will vary, but should

Question 7

Determine whether the events are mutually exclusive
-Get a full time day job as a teller with a bank. Get a full time day job as a cashier at a store.

Accepted Answer

A) No 
B) Yes 
A) No 
B) Yes

Question 8

Find the indicated probability
-A die with 12 sides is rolled. What is the probability of rolling a number less than 11?

Accepted Answer

A)  10 
B)  $\frac { 1 } { 12 }$ 
C)  $\frac { 11 } { 12 }$ 
D)  $\frac { 5 } { 6 }$ 
A)  10 
B)  $\frac { 1 } { 12 }$ 
C)  $\frac { 11 } { 12 }$ 
D)  $\frac { 5 } { 6 }$

Question 9

Answer the question.
-Which of the following cannot be a probability?

Accepted Answer

A)  $\frac { 5 } { 3 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 3 } { 5 }$ 
A)  $\frac { 5 } { 3 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $\frac { 2 } { 3 }$ 
D)  $\frac { 3 } { 5 }$

Question 10

Find the indicated probability
-The table below describes the smoking habits of a group of asthma sufferers. $\begin{array}{r|cccc} 
&& \text {light}& \text {heavy}\
& \text { Nonsmoker } & \text { smoker} & \text { smoker } & \text {Total } \
\hline \text { Men } & 341 & 45 & 36 & 422 \
\text { Women } & 383 & 38 & 37 & 458 \
\text { Total } & 724 & 83 & 73 & 880
\end{array}$
If two different people are randomly selected from the 880 subjects, find the probability that they are both heavy smokers.

Accepted Answer

A)  $0.006881$ 
B)  $0.0001877$ 
C)  $0.006795$ 
D)  $0.001674$ 
A)  $0.006881$ 
B)  $0.0001877$ 
C)  $0.006795$ 
D)  $0.001674$

Question 11

The following table contains data from a study of two airlines which fly to Small Town, USA. $\begin{array}{l|cc} 
& \text { Number of flight} & \text {Number of flights } \
& \text { which were on time } & \text { which were late } \
\hline \text { Podunk Airlines } & 33 & 6 \
\text { Upstate Airlines } & 43 & 5
\end{array}$
If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time given that an Upstate Airlines flight.

Accepted Answer

A)  $\frac { 11 } { 76 }$ 
B)  $\frac { 43 } { 87 }$ 
C)  $\frac { 43 } { 48 }$ 
D)  None of the above is correct. it was 
A)  $\frac { 11 } { 76 }$ 
B)  $\frac { 43 } { 87 }$ 
C)  $\frac { 43 } { 48 }$ 
D)  None of the above is correct. it was

Question 12

In a batch of 8,000 clock radios 9% are defective. A sample of 15 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

Accepted Answer

A) 0.243 
B) 0.0900 
C) 0.0667 
D) 0.757 
A) 0.243 
B) 0.0900 
C) 0.0667 
D) 0.757

Question 13

Find the indicated probability
-Among the contestants in a competition are 42 women and 28 men. If 5 winners are randomly selected, what is the probability that they are all men?

Accepted Answer

A) 0.00812 
B) 0.07776 
C) 0.11553 
D) 0.13169 
A) 0.00812 
B) 0.07776 
C) 0.11553 
D) 0.13169

Question 14

Evaluate the expression.
-${ } _ { 10 } \mathrm { P } _ { 4 }$

Accepted Answer

A)  5040 
B)  6 
C)  210 
D)  34 
A)  5040 
B)  6 
C)  210 
D)  34

Question 15

Friskie is having her fifth litter. The prior litters have either been three normal pups or two normal pups and a runt. Assume the probability of either outcome is 50%.

Accepted Answer

A) NNR NNN 
B) N NN NR NNN NRN 
C) NNN RNN NR 
D) NR NNR NNR 
A) NNR NNN 
B) N NN NR NNN NRN 
C) NNN RNN NR 
D) NR NNR NNR

Question 16

Determine whether the events are mutually exclusive.
-The table below describes the smoking habits of a group of asthma sufferers. $$\begin{array} { r | c c c c c } 
& \text { Nonsmoker } & \begin{array} { c } 
\text { Occasional } \
\text { smoker }
\end{array} & \begin{array} { c } 
\text { Regular } \
\text { smoker }
\end{array} & \begin{array} { c } 
\text { Heavy } \
\text { smoker }
\end{array} & \text { Total } \
\hline \text { Men } & 433 & 42 & 71 & 37 & 583 \
\text { Women } & 326 & 47 & 78 & 39 & 490 \
\text { Total } & 759 & 89 & 149 & 76 & 1073
\end{array}$$ If one of the 1073 people is randomly selected, find the probability that the person is a man or a heavy smoker.

Accepted Answer

A) 0.545 
B) 0.580 
C) 0.614 
D) 0.487 
A) 0.545 
B) 0.580 
C) 0.614 
D) 0.487

Question 17

Find the indicated probability
-You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that both cards are black.

Accepted Answer

A)  $\frac { 25 } { 51 }$ 
B)  $\frac { 1 } { 2,652 }$ 
C)  $\frac { 13 } { 51 }$ 
D)  $\frac { 25 } { 102 }$ 
A)  $\frac { 25 } { 51 }$ 
B)  $\frac { 1 } { 2,652 }$ 
C)  $\frac { 13 } { 51 }$ 
D)  $\frac { 25 } { 102 }$

Question 18

Solve the problem.
-The library is to be given 3 books as a gift. The books will be selected from a list of 18 titles. If each book selected must have a different title, how many possible selections are there?

Accepted Answer

A) 4896 
B) 1.067062284e+15 
C) 816 
D) 6.402373706e+15 
A) 4896 
B) 1.067062284e+15 
C) 816 
D) 6.402373706e+15

Question 19

Solve the problem.
-How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from?

Accepted Answer

A) 20,160 
B) 720 
C) 40,320 
D) 48 
A) 20,160 
B) 720 
C) 40,320 
D) 48

Question 20

Find the indicated probability
-If you are told that a mystery person's name begins with a consonant, would it be "unusual" to guess the first letter of that person's name?

Accepted Answer

A) Yes 
B) No 
A) Yes 
B) No

Provide an appropriate response. -What important question must you answer before computing an "or" probability? How does the answer influence your computation?

Provide a written description of the complement of the given event. -When 10 adults are tested for high blood pressure, at least one of the results are positive.

Determine whether the events are mutually exclusive. -If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.

Determine whether the events are mutually exclusive -Read a book by Mark Twain. Read about Tom Sawyer.

Provide an appropriate response. -Discuss the differences, both in applications and in the formulas, for combinations and permutations. Give an example of each.

Determine whether the events are mutually exclusive -Get a full time day job as a teller with a bank. Get a full time day job as a cashier at a store.

Find the indicated probability -A die with 12 sides is rolled. What is the probability of rolling a number less than 11?

Answer the question. -Which of the following cannot be a probability?

In a batch of 8,000 clock radios 9% are defective. A sample of 15 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

Find the indicated probability -Among the contestants in a competition are 42 women and 28 men. If 5 winners are randomly selected, what is the probability that they are all men?

Evaluate the expression. - ${ } _ { 10 } \mathrm { P } _ { 4 }$

Friskie is having her fifth litter. The prior litters have either been three normal pups or two normal pups and a runt. Assume the probability of either outcome is 50%.

Find the indicated probability -You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that both cards are black.

Solve the problem. -The library is to be given 3 books as a gift. The books will be selected from a list of 18 titles. If each book selected must have a different title, how many possible selections are there?

Solve the problem. -How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from?

Find the indicated probability -If you are told that a mystery person's name begins with a consonant, would it be "unusual" to guess the first letter of that person's name?

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

Provide an appropriate response. -What important question must you answer before computing an "or" probability? How does the answer influence your computation?

Provide a written description of the complement of the given event. -When 10 adults are tested for high blood pressure, at least one of the results are positive.

Determine whether the events are mutually exclusive. -If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years.

Determine whether the events are mutually exclusive -Read a book by Mark Twain. Read about Tom Sawyer.

Provide an appropriate response. -Discuss the differences, both in applications and in the formulas, for combinations and permutations. Give an example of each.

Determine whether the events are mutually exclusive -Get a full time day job as a teller with a bank. Get a full time day job as a cashier at a store.

Find the indicated probability -A die with 12 sides is rolled. What is the probability of rolling a number less than 11?

Answer the question. -Which of the following cannot be a probability?

In a batch of 8,000 clock radios 9% are defective. A sample of 15 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected?

Find the indicated probability -Among the contestants in a competition are 42 women and 28 men. If 5 winners are randomly selected, what is the probability that they are all men?

Evaluate the expression. - 10P4{ } _ { 10 } \mathrm { P } _ { 4 }10​P4​

Friskie is having her fifth litter. The prior litters have either been three normal pups or two normal pups and a runt. Assume the probability of either outcome is 50%.

Find the indicated probability -You are dealt two cards successively (without replacement)from a shuffled deck of 52 playing cards. Find the probability that both cards are black.

Solve the problem. -The library is to be given 3 books as a gift. The books will be selected from a list of 18 titles. If each book selected must have a different title, how many possible selections are there?

Solve the problem. -How many ways can 6 people be chosen and arranged in a straight line if there are 8 people to choose from?

Find the indicated probability -If you are told that a mystery person's name begins with a consonant, would it be "unusual" to guess the first letter of that person's name?

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

Evaluate the expression. - ${ } _ { 10 } \mathrm { P } _ { 4 }$