Question 1

Which quantity is represented on the screen below?

Accepted Answer

A) The number of sample points when a coin is flipped six times 
B) The number of ways two dice can be rolled 
C) The number of ways two coins can be chosen from six coins 
D) The number of sample points when a die is rolled and a coin is flipped 
A) The number of sample points when a coin is flipped six times 
B) The number of ways two dice can be rolled 
C) The number of ways two coins can be chosen from six coins 
D) The number of sample points when a die is rolled and a coin is flipped

Question 2

The following Venn diagram shows the six possible outcomes when rolling a fair die. Let A be the event of rolling an even number and let B be the event of rolling a number greater than 1.  
Which of the following expressions describes the event of rolling a 1 ?

Accepted Answer

A)  $A ^ { c }$ 
B)  $B ^ { c }$ 
C)  $A \cup B$ 
D)  $B$ 
A)  $A ^ { c }$ 
B)  $B ^ { c }$ 
C)  $A \cup B$ 
D)  $B$

Question 3

In a class of 30 students, 18 are men, 6 are earning a B, and no men are earning a B. If a student is randomly selected from the class, find the probability that the student is a man or earning a B.

Accepted Answer

A) .54 
B) .24 
C) .4 
D) .8 
A) .54 
B) .24 
C) .4 
D) .8

Question 4

Find the numerical value.
-Your manager will assign her 9 employees to three tasks, 2 to task A, 4 to task B, and 3 to task C. If she randomly assigns employees to tasks, what is the probability that you and your best friend
Will be the two assigned to task A?

Accepted Answer

A)  $\frac { 2 } { 9 }$ 
B)  $\frac { 1 } { 1260 }$ 
C)  $\frac { 1 } { 512 }$ 
D)  $\frac { 1 } { 36 }$ 
A)  $\frac { 2 } { 9 }$ 
B)  $\frac { 1 } { 1260 }$ 
C)  $\frac { 1 } { 512 }$ 
D)  $\frac { 1 } { 36 }$

Question 5

The manager of a warehouse club estimates that 7 out of 10 customers will donate a dollar
to help a childrenʹs hospital during an annual drive to benefit the hospital. Using the
managerʹs estimate, what is the probability that a randomly selected customer will not
donate a dollar?

Accepted Answer

The answer of The manager of a warehouse club estimates...

Question 6

$$\left( \begin{array} { l } 
8 \
2
\end{array} \right)$$

Accepted Answer

A) 4 
B) 56 
C) 720 
D) 28 
A) 4 
B) 56 
C) 720 
D) 28

Question 7

In a box of 75 markers, 36 markers are either red or black and 15 are blue. Find the probability that a randomly selected marker is red or black or blue.

Accepted Answer

A) .51 
B) .68 
C) .32 
D) .24 
A) .51 
B) .68 
C) .32 
D) .24

Question 8

A fast-food restaurant chain with 700 outlets in the United States has recorded the
geographic location of its restaurants in the accompanying table of percentages. One
restaurant is to be chosen at random from the 700 to test market a chicken sandwich.   What is the probability that the restaurant is located in the western portion of the United
States?

Accepted Answer

\[\begin{array} { l } 
P ( \text { Weste

Question 9

The table shows the number of each Ford car sold in the United States in June. Suppose
the sales record for one of these cars is randomly selected and the type of car is identified.   Event A is defined as follows.
A: {Convertible, SUV, Van}
a. Identify the sample points in the event $A ^ { C }$. Find $P \left( A ^ { C } \right)$. b.

Accepted Answer

a. {Sedan,

Question 10

You need to fly from Dallas to Chicago. Five airlines offer direct flights, and each airline
offers 4 direct flights on the day you need to travel. How many ways can you choose a
direct flight from Dallas to Chicago?.

Accepted Answer

The answer of You need to fly from Dallas to...

Question 11

For two events, $A$ and $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$, and $P ( B \mid A ) = \frac { 5 } { 6 }$. Find $P ( A \cap B )$.

Accepted Answer

A)  $\frac { 5 } { 9 }$ 
B)  $\frac { 9 } { 10 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 5 } { 8 }$ 
A)  $\frac { 5 } { 9 }$ 
B)  $\frac { 9 } { 10 }$ 
C)  $\frac { 1 } { 2 }$ 
D)  $\frac { 5 } { 8 }$

Question 12

The table displays the probabilities for each of the six outcomes when rolling a particular unfair die. Suppose that the die is rolled once. $$\begin{array} { | l | r | r | r | r | r | r | } 
\hline \text { Outcome } & 1 & 2 & 3 & 4 & 5 & 6 \
\hline \text { Probability } & .1 & .1 & .1 & .2 & .2 & .3 \
\hline
\end{array}$$ Events A, B, C, and D are defined as follows.
A: {The number is even}
B: {The number is less than 4}
C: {The number is less than or equal to 5}
D: {The number is greater than or equal to 5}
Identify one pair of independent events.

Accepted Answer

A) B and C 
B) A and D 
C) B and D 
D) A and B 
A) B and C 
B) A and D 
C) B and D 
D) A and B

Question 13

The manager of an advertising department has asked her creative team to propose six new
ideas for an advertising campaign for a major client. She will choose three of the six
proposals to present to the client. (We will refer to the six proposals as A, B, C, D, E, and F.)
a. In how many ways can the manager select the three of the six proposals? List the
possibilities.
b. It is unlikely that the manager will randomly select three of the six proposals, but if she
does what is the probability that she selects proposals A, D, and E?

Accepted Answer

a. @#LAT-DLM&, AEF, BCD, BCE,

Question 14

The table shows the political affiliations and types of jobs for workers in a particular state. Suppose a worker is selected at random within the state and the workerʹs political affiliation and type of job
Are noted.

Find the probability that the worker is a white collar worker affiliated with the Democratic Party.

Accepted Answer

A)  $0.48$ 
B)  $0.30$ 
C)  $0.12$ 
D)  $0.66$ 
A)  $0.48$ 
B)  $0.30$ 
C)  $0.12$ 
D)  $0.66$

Question 15

The manager of a used car lot took inventory of the automobiles on his lot and constructed the following table based on the age of each car and its make (foreign or domestic):

A car was randomly selected from the lot. Given that the car selected was a foreign car, what is the probability that it was older than 2 years old?

Accepted Answer

A)  $\frac { 56 } { 115 }$ 
B)  $\frac { 44 } { 115 }$ 
C)  $\frac { 11 } { 25 }$ 
D)  $\frac { 14 } { 25 }$ 
A)  $\frac { 56 } { 115 }$ 
B)  $\frac { 44 } { 115 }$ 
C)  $\frac { 11 } { 25 }$ 
D)  $\frac { 14 } { 25 }$

Question 16

Suppose that for a certain experiment $P ( A ) = .33$ and $P ( B ) = .29$. If $A$ and $B$ are mutually exclusive events, find $P ( A \cup B )$.

Accepted Answer

A)  $.38$ 
B)  $.03$ 
C)  $.62$ 
D)  $.31$ 
A)  $.38$ 
B)  $.03$ 
C)  $.62$ 
D)  $.31$

Question 17

A state energy agency mailed questionnaires on energy conservation to 1,000 homeowners in the state capital. Five hundred questionnaires were returned. Suppose an experiment consists of
Randomly selecting one of the returned questionnaires. Consider the events: A: :The home is constructed of brick $\}$
B: : {The home is more than 30 years old}

In terms of $A$ and $B$, describe a home that is constructed of brick and is less than or equal to 30 years old.

Accepted Answer

A)  $A \cap B$ 
B)  $A \cap B ^ { C }$ 
C)  $A \cup B$ 
D)  $( A \cap B ) ^ { C }$ 
A)  $A \cap B$ 
B)  $A \cap B ^ { C }$ 
C)  $A \cup B$ 
D)  $( A \cap B ) ^ { C }$

Question 18

If A and B are mutually exclusive events, then $$P ( A \mid B ) = 0$$

Accepted Answer

A) True 
 B)False

Question 19

Fill in the blank. The __________ of two events A and B is the event that either A or B or both occur.

Accepted Answer

A) union 
B) complement 
C) Venn diagram 
D) intersection 
A) union 
B) complement 
C) Venn diagram 
D) intersection

Question 20

Suppose that an experiment has five equally likely outcomes. What probability is assigned to each of the sample points?

Accepted Answer

A) 1 
B) .5 
C) .05 
D) .2 
A) 1 
B) .5 
C) .05 
D) .2

Which quantity is represented on the screen below?

The following Venn diagram shows the six possible outcomes when rolling a fair die. Let A be the event of rolling an even number and let B be the event of rolling a number greater than 1. Which of the following expressions describes the event of rolling a 1 ?

In a class of 30 students, 18 are men, 6 are earning a B, and no men are earning a B. If a student is randomly selected from the class, find the probability that the student is a man or earning a B.

Find the numerical value. -Your manager will assign her 9 employees to three tasks, 2 to task A, 4 to task B, and 3 to task C. If she randomly assigns employees to tasks, what is the probability that you and your best friend Will be the two assigned to task A?

The manager of a warehouse club estimates that 7 out of 10 customers will donate a dollar to help a childrenʹs hospital during an annual drive to benefit the hospital. Using the managerʹs estimate, what is the probability that a randomly selected customer will not donate a dollar?

$\left( \begin{array} { l } 8 \\2\end{array} \right)$

In a box of 75 markers, 36 markers are either red or black and 15 are blue. Find the probability that a randomly selected marker is red or black or blue.

You need to fly from Dallas to Chicago. Five airlines offer direct flights, and each airline offers 4 direct flights on the day you need to travel. How many ways can you choose a direct flight from Dallas to Chicago?.

For two events, $A$ and $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$ , and $P ( B \mid A ) = \frac { 5 } { 6 }$ . Find $P ( A \cap B )$ .

Suppose that for a certain experiment $P ( A ) = .33$ and $P ( B ) = .29$ . If $A$ and $B$ are mutually exclusive events, find $P ( A \cup B )$ .

If A and B are mutually exclusive events, then $P ( A \mid B ) = 0$

Fill in the blank. The __________ of two events A and B is the event that either A or B or both occur.

Suppose that an experiment has five equally likely outcomes. What probability is assigned to each of the sample points?

Statistics, Data, and Statistical Thinking

Methods for Describing Sets of Data

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Inferences Based on a Single Sample: Estimation With Confidence Intervals

Inferences Based on a Single

Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses

Analysis of Variance: Comparing More Than Two Means

Simple Linear Regression

Multiple Regression and Model Building

Categorical Data Analysis

Nonparametric Statistics Available Online

Filters

Exam 3: Probability

Which quantity is represented on the screen below?

The following Venn diagram shows the six possible outcomes when rolling a fair die. Let A be the event of rolling an even number and let B be the event of rolling a number greater than 1. Which of the following expressions describes the event of rolling a 1 ?

In a class of 30 students, 18 are men, 6 are earning a B, and no men are earning a B. If a student is randomly selected from the class, find the probability that the student is a man or earning a B.

Find the numerical value. -Your manager will assign her 9 employees to three tasks, 2 to task A, 4 to task B, and 3 to task C. If she randomly assigns employees to tasks, what is the probability that you and your best friend Will be the two assigned to task A?

The manager of a warehouse club estimates that 7 out of 10 customers will donate a dollar to help a childrenʹs hospital during an annual drive to benefit the hospital. Using the managerʹs estimate, what is the probability that a randomly selected customer will not donate a dollar?

(82)\left( \begin{array} { l } 8 \\2\end{array} \right)(82​)

In a box of 75 markers, 36 markers are either red or black and 15 are blue. Find the probability that a randomly selected marker is red or black or blue.

You need to fly from Dallas to Chicago. Five airlines offer direct flights, and each airline offers 4 direct flights on the day you need to travel. How many ways can you choose a direct flight from Dallas to Chicago?.

For two events, AAA and B,P(A)=34,P(B)=23B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }B,P(A)=43​,P(B)=32​ , and P(B∣A)=56P ( B \mid A ) = \frac { 5 } { 6 }P(B∣A)=65​ . Find P(A∩B)P ( A \cap B )P(A∩B) .

Suppose that for a certain experiment P(A)=.33P ( A ) = .33P(A)=.33 and P(B)=.29P ( B ) = .29P(B)=.29 . If AAA and BBB are mutually exclusive events, find P(A∪B)P ( A \cup B )P(A∪B) .

If A and B are mutually exclusive events, then P(A∣B)=0P ( A \mid B ) = 0P(A∣B)=0

Fill in the blank. The __________ of two events A and B is the event that either A or B or both occur.

Suppose that an experiment has five equally likely outcomes. What probability is assigned to each of the sample points?

Statistics, Data, and Statistical Thinking

Methods for Describing Sets of Data

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Inferences Based on a Single Sample: Estimation With Confidence Intervals

Inferences Based on a Single

Inferences Based on Two Samples: Confidence Intervals and Tests of Hypotheses

Analysis of Variance: Comparing More Than Two Means

Simple Linear Regression

Multiple Regression and Model Building

Categorical Data Analysis

Nonparametric Statistics Available Online

Filters

$\left( \begin{array} { l } 8 \\2\end{array} \right)$

For two events, $A$ and $B , P ( A ) = \frac { 3 } { 4 } , P ( B ) = \frac { 2 } { 3 }$ , and $P ( B \mid A ) = \frac { 5 } { 6 }$ . Find $P ( A \cap B )$ .

Suppose that for a certain experiment $P ( A ) = .33$ and $P ( B ) = .29$ . If $A$ and $B$ are mutually exclusive events, find $P ( A \cup B )$ .

If A and B are mutually exclusive events, then $P ( A \mid B ) = 0$