Question 1

An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the following joint probability table that was developed from the dealer's records for the previous year, P (Male)= ________  $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $$\text { Buyer Gender }$
$\begin{array}{|r|c|c||c|}
\hline \text { Type of }\
 \text { Vehicle } & \text { Female } & \text { Male } & \text { Total } \
\hline \text { SUV } & & & \
\hline \text { Not SUV } & .32 & .48 & \
\hline \text { Total } & .40 & & 1.00\
\hline
\end{array}$

Accepted Answer

A) 0.48 
B) 0.50 
C) 0.20 
D) 0.02 
E) 0.60

Question 2

The department in which you work in your company has 24 employees.A team of 3 employees must be selected to represent the department at a companywide meeting in the headquarters of the company.How many different teams of 3 can be selected?

Accepted Answer

A) 3 
B) 8 
C) 24 
D) 72 
E) 2024

Question 3

The marketing department of your company is investigating the appeal of three possible service plans your company is planning to offer.The table below gives information obtained through a sample of 2395 clients.The three service plans are labeled A, B, and C.The clients are classified according to their industry and their service plan preference. $$\begin{array} { | l | r | r | r | r | } 
\hline & \text { A } & \text { B } & \text { C } & \text { Total } \
\hline \text { Autornotive } & 212 & 340 & 40 & 592 \
\hline \text { Construction } & 540 & 280 & 322 & 1142 \
\hline \text { Firaricial Serv. } & 205 & 351 & 105 & 661 \
\hline { \text { Total } } & 957 & 971 & 467 & 2395 \
\hline
\end{array}$$ If one of these consumers is randomly selected and prefers plan C, what is the probability that this client is from the construction industry?

Accepted Answer

A) 0.69 
B) 0.13 
C) 0.66 
D) 0.60 
E) 0.58

Question 4

Given two events, A and B, if the probability of A is 0.7, the probability of B is 0.3, and the joint probability of A and B is 0.21, then the two events are independent.

Accepted Answer

A) True 
 B)False

Question 5

A market research firm is investigating the appeal of three package designs.The table below gives information obtained through a sample of 200 consumers.The three package designs are labeled A, B, and C.The consumers are classified according to age and package design preference. $$\begin{array} { | c | c | c | c | c | } 
\hline & \text { A } & \text { B } & \text { C } & \text { Total } \
\hline \text { Under 25 years } & 22 & 34 & 40 & 96 \
\hline 25 \text { or older } & 54 & 28 & 22 & 104 \
\hline \text { Total } & 76 & 62 & 62 & 200 \
\hline
\end{array}$$ If one of these consumers is randomly selected and is under 25, what is the probability that the person prefers design A?

Accepted Answer

A) 0.22 
B) 0.23 
C) 0.29 
D) 0.18 
E) 0.78

Question 6

The department in which you work in your company has 10 employees: 10 women and 14 men.A team of anywhere from one employee up to 9 employees must be chose to attend a meeting at the company's headquarters.How many different teams can be selected?

Accepted Answer

A) 1024 
B) 1023 
C) 1022 
D) 1021 
E) 1020

Question 7

The division of the company where you work has 85 employees.Thirty of them are bilingual, and 37% of the bilingual employees have a graduate degree.If an employee of this division is randomly selected, what is the probability that the employee is bilingual and has a graduate degree?

Accepted Answer

A) 0.131 
B) 0.128 
C) 0.126 
D) 0.124 
E) 0.122

Question 8

The probability of at least one of two events occurring would be an example of a____________ probability.

Accepted Answer

A) marginal 
B) union 
C) joint 
D) conditional 
E) non-union

Question 9

A market research firms conducts studies regarding the success of new products.The company is not always perfect in predicting the success.Suppose that there is a 50% chance that any new product would be successful (and a 50% chance that it would fail).In the past, for all new products that ultimately were successful, 80% were predicted to be successful (and the other 20% were inaccurately predicted to be failures).Also, for all new products that were ultimately failures, 70% were predicted to be failures (and the other 30% were inaccurately predicted to be successes).What is the a priori probability that a new product would be a success?

Accepted Answer

A) 0.50 
B) 0.80 
C) 0.70 
D) 0.60 
E) 0.95

Question 10

One event is that individuals like lasagna and the other event is that individuals like soda, the union of these two events would be the probability of _____________.

Accepted Answer

A) both events occurring 
B) at least one event occurring 
C) neither event occurring 
D) 0% 
E) 100%

Question 11

Inferring the value of a population parameter from the statistic on a random sample drawn from the population is an inferential process under uncertainty.

Accepted Answer

A) True 
 B)False

Question 12

If the occurrence of one event does not affect the occurrence of another event, then the two events are mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 13

Suppose you toss a fair coin three times in a row and obtain tails, tails, and tails.What it the probability that the fourth toss will give heads?

Accepted Answer

A) 0.75 
B) 0.67 
C) 0.50 
D) 0.33 
E) 0.25

Question 14

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F$\cup$H is ___________.

Accepted Answer

A) {Meagan} 
B) {Betty, Abel, Patty, Meagan} 
C) empty, since F and H are complements 
D) empty, since F and H are independent 
E) empty, since F and H are mutually exclusive

Question 15

Let F be the event that a student is enrolled in a finance course, and let S be the event that a student is enrolled in a statistics course.It is known that 40% of all students are enrolled in a finance course and 35% of all students are enrolled in statistics.Included in these numbers are 15% who are enrolled in both statistics and finance.A student is randomly selected, what is the probability that the student is enrolled in either finance or statistics or both?

Accepted Answer

A) 0.15 
B) 0.75 
C) 0.60 
D) 0.55 
E) 0.90

Question 16

Max Sandlin is exploring the characteristics of stock market investors.He found that sixty percent of all investors have a net worth exceeding $1,000,000; 20% of all investors use an online brokerage; and 10% of all investors a have net worth exceeding $1,000,000 and use an online brokerage.An investor is selected randomly, and E is the event "net worth exceeds $1, 000, 000," and O is the event "uses an online brokerage." P(O|E)= _____________.

Accepted Answer

A) 0.17 
B) 0.50 
C) 0.80 
D) 0.70 
E) 0.88

Question 17

If the occurrence of one event precludes the occurrence of another event, then the two events are mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 18

If the CEO of Apple wanted to know the probability that if someone owned an Apple computer, they would also own a different brand computer, this would be an example of a __________ probability.

Accepted Answer

A) conditional 
B) marginal 
C) joint 
D) non-joint 
E) union

Question 19

It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly.What is the probability that a randomly selected student is overweight given that this student exercises regularly?

Accepted Answer

A) 0.40 
B) 0.38 
C) 0.20 
D) 0.42 
E) 0.10

Question 20

An automobile dealer wishes to investigate the relation between the gender of the buyer and type of vehicle purchased.Based on the joint probability table below that was developed from the dealer's records for the previous year, P (Female $\cap$ SUV)= _______.  $\quad $ $\quad $ $\quad $ $\quad $ $\quad $ $\quad $$\text { Buyer Gender }$
$\begin{array}{|r|c|c||c|}
\hline \text { Type of }\
 \text { Vehicle } & \text { Female } & \text { Male } & \text { Total } \
\hline \text { SUV } & & & \
\hline \text { Not SUV } & .30 & .40 & \
\hline \text { Total } & &.60 & 1.00\
\hline
\end{array}$

Accepted Answer

A) 0.30 
B) 0.40 
C) 0.12 
D) 0.10 
E) 0.60

Exam 4: Probability

The department in which you work in your company has 24 employees.A team of 3 employees must be selected to represent the department at a companywide meeting in the headquarters of the company.How many different teams of 3 can be selected?

Given two events, A and B, if the probability of A is 0.7, the probability of B is 0.3, and the joint probability of A and B is 0.21, then the two events are independent.

The department in which you work in your company has 10 employees: 10 women and 14 men.A team of anywhere from one employee up to 9 employees must be chose to attend a meeting at the company's headquarters.How many different teams can be selected?

The division of the company where you work has 85 employees.Thirty of them are bilingual, and 37% of the bilingual employees have a graduate degree.If an employee of this division is randomly selected, what is the probability that the employee is bilingual and has a graduate degree?

The probability of at least one of two events occurring would be an example of a____________ probability.

One event is that individuals like lasagna and the other event is that individuals like soda, the union of these two events would be the probability of _____________.

Inferring the value of a population parameter from the statistic on a random sample drawn from the population is an inferential process under uncertainty.

If the occurrence of one event does not affect the occurrence of another event, then the two events are mutually exclusive.

Suppose you toss a fair coin three times in a row and obtain tails, tails, and tails.What it the probability that the fourth toss will give heads?

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F $\cup$ H is ___________.

If the occurrence of one event precludes the occurrence of another event, then the two events are mutually exclusive.

If the CEO of Apple wanted to know the probability that if someone owned an Apple computer, they would also own a different brand computer, this would be an example of a __________ probability.

It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly.What is the probability that a randomly selected student is overweight given that this student exercises regularly?

Exam 4: Probability

The department in which you work in your company has 24 employees.A team of 3 employees must be selected to represent the department at a companywide meeting in the headquarters of the company.How many different teams of 3 can be selected?

Given two events, A and B, if the probability of A is 0.7, the probability of B is 0.3, and the joint probability of A and B is 0.21, then the two events are independent.

The department in which you work in your company has 10 employees: 10 women and 14 men.A team of anywhere from one employee up to 9 employees must be chose to attend a meeting at the company's headquarters.How many different teams can be selected?

The division of the company where you work has 85 employees.Thirty of them are bilingual, and 37% of the bilingual employees have a graduate degree.If an employee of this division is randomly selected, what is the probability that the employee is bilingual and has a graduate degree?

The probability of at least one of two events occurring would be an example of a____________ probability.

One event is that individuals like lasagna and the other event is that individuals like soda, the union of these two events would be the probability of _____________.

Inferring the value of a population parameter from the statistic on a random sample drawn from the population is an inferential process under uncertainty.

If the occurrence of one event does not affect the occurrence of another event, then the two events are mutually exclusive.

Suppose you toss a fair coin three times in a row and obtain tails, tails, and tails.What it the probability that the fourth toss will give heads?

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F ∪\cup∪ H is ___________.

If the occurrence of one event precludes the occurrence of another event, then the two events are mutually exclusive.

If the CEO of Apple wanted to know the probability that if someone owned an Apple computer, they would also own a different brand computer, this would be an example of a __________ probability.

It is known that 20% of all students in some large university are overweight, 20% exercise regularly and 2% are overweight and exercise regularly.What is the probability that a randomly selected student is overweight given that this student exercises regularly?

Consider the following sample space, S, and several events defined on it.S = {Albert, Betty, Abel, Jack, Patty, Meagan}, and the events are: F = {Betty, Patty, Meagan}, H = {Abel, Meagan}, and P = {Betty, Abel}.F $\cup$ H is ___________.