Question 1

If $$\mathrm { P } ( A \text { and } B ) = 0$$ , then A and B must be collectively exhaustive.

Accepted Answer

A) True 
 B)False

Question 2

SCENARIO 4-11
A sample of 300 adults is selected.The contingency table below shows their registration status and their preferred source of information on current events. $$\begin{array} { | c | c | c | c | c | c | } 
\hline  &&  { \text { Preferred source of information } } \
\hline  && \text { Television } & \text { Newspapers } & \text { Radio } & \text { Internet } \
\hline \text { Voting registration status } & \text { Registered } & 45 & 30 & 45 & 36 \
\hline  & \text { Not registered } & 35 & 44 & 45 & 20 \
\hline
\end{array}$$
-Referring to Scenario 4-11, if an adult is selected at random, what is the probability that he/she is a registered voter or prefers to get his/her current information from radio?

Accepted Answer

The answer of SCENARIO 4-11
A sample of 300 adults is...

Question 3

SCENARIO 4-4
Suppose that patrons of a restaurant were asked whether they preferred water or whether they preferred soda.70% said that they preferred water.60% of the patrons were male.80% of the males preferred water.
-Referring to Scenario 4-4, the two events "preferring water" and "preferring soda" are independent.

Accepted Answer

A) True 
 B)False

Question 4

The employees of a company were surveyed on questions regarding their educational background(college degree or no college degree) and marital status (single or married).Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates.The probability that an employee of the company is single or has a college degree is:

Accepted Answer

A) 0.10 
B) 0.25 
C) 0.667 
D) 0.733 
A) 0.10 
B) 0.25 
C) 0.667 
D) 0.733

Question 5

If P (A or B) = 1.0, then A and B must be collectively exhaustive.

Accepted Answer

A) True 
 B)False

Question 6

Seven passengers are on a waiting list for an overbooked flight.As a result of cancellations, 3 seats become available.How many ways can those 3 available seats be filled regardless of the order?

Accepted Answer

The answer of Seven passengers are on a waiting list...

Question 7

SCENARIO 4-9
A survey conducted by the Segal Company of New York found that in a sample of 189 large companies, 40 offered stock options to their board members as part of their non-cash compensation packages.For small- to mid-sized companies, 43 of the 180 surveyed indicated that they offer stock options as part of their noncash compensation packages to their board members.
-Referring to Scenario 4-9, is the size of the company independent of whether stock options are offered to their board members and why?

Accepted Answer

No, because P(stock

Question 8

If two events are independent, what is the probability that they both occur?

Accepted Answer

A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given. 
A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given.

Question 9

SCENARIO 4-11
A sample of 300 adults is selected.The contingency table below shows their registration status and their preferred source of information on current events. $$\begin{array} { | c | c | c | c | c | c | } 
\hline  &&  { \text { Preferred source of information } } \
\hline  && \text { Television } & \text { Newspapers } & \text { Radio } & \text { Internet } \
\hline \text { Voting registration status } & \text { Registered } & 45 & 30 & 45 & 36 \
\hline  & \text { Not registered } & 35 & 44 & 45 & 20 \
\hline
\end{array}$$
-Referring to Scenario 4-11, if an adult is selected at random, what is the probability that he/she prefers to get his/her current information from the internet?

Accepted Answer

The answer of SCENARIO 4-11
A sample of 300 adults is...

Question 10

All the events in the sample space that are not part of the specified event are called

Accepted Answer

A) simple events. 
B) joint events. 
C) the sample space. 
D) the complement of the event. 
A) simple events. 
B) joint events. 
C) the sample space. 
D) the complement of the event.

Question 11

SCENARIO 4-8
According to the record of the registrar's office at a state university, 35% of the students are freshman, 25% are sophomore, 16% are junior and the rest are senior.Among the freshmen, sophomores, juniors and seniors, the portion of students who live in the dormitory are, respectively,
80%, 60%, 30% and 20%.
-Referring to Scenario 4-8, what proportion of the students live in a dormitory?

Accepted Answer

The answer of SCENARIO 4-8
According to the record of the...

Question 12

The probability that house sales will increase in the next 6 months is estimated to be 0.25.The probability that the interest rates on housing loans will go up in the same period is estimated to be0.74.The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89.The probability that both house sales and interest rates will increase during the next 6 months is:

Accepted Answer

A) 0.10 
B) 0.185 
C) 0.705 
D) 0.90 
A) 0.10 
B) 0.185 
C) 0.705 
D) 0.90

Question 13

If $$\mathrm { P } ( A \text { and } B ) = 0$$ , then A and B must be mutually exclusive.

Accepted Answer

A) True 
 B)False

Question 14

SCENARIO 4-11
A sample of 300 adults is selected.The contingency table below shows their registration status and their preferred source of information on current events. $$\begin{array} { | c | c | c | c | c | c | } 
\hline  &&  { \text { Preferred source of information } } \
\hline  && \text { Television } & \text { Newspapers } & \text { Radio } & \text { Internet } \
\hline \text { Voting registration status } & \text { Registered } & 45 & 30 & 45 & 36 \
\hline  & \text { Not registered } & 35 & 44 & 45 & 20 \
\hline
\end{array}$$
-Referring to Scenario 4-11, if an adult is selected at random, what is the probability that he/she is a registered voter?

Accepted Answer

The answer of SCENARIO 4-11
A sample of 300 adults is...

Question 15

SCENARIO 4-8
According to the record of the registrar's office at a state university, 35% of the students are freshman, 25% are sophomore, 16% are junior and the rest are senior.Among the freshmen, sophomores, juniors and seniors, the portion of students who live in the dormitory are, respectively,
80%, 60%, 30% and 20%.
-Referring to Scenario 4-8, determine whether the class status of a student and whether the student lives in a dormitory are independent.

Accepted Answer

The answer of SCENARIO 4-8
According to the record of the...

Question 16

According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $50,000 is 80%.Of the households surveyed, 60% had incomes over $50,000 and 70% had 2 cars.The probability that annual household income is over $50,000 if the residents of a household do not own 2 cars is:

Accepted Answer

A) 0.12 
B) 0.18 
C) 0.40 
D) 0.70 
A) 0.12 
B) 0.18 
C) 0.40 
D) 0.70

Question 17

SCENARIO 4-10
Are whites more likely to claim bias? It was found that 60% of the workers were white, 30% were black and 10% are other races.Given that a worker was white, the probability that the worker had claimed bias was 30%.Given that a worker was black, the probability that the worker had claimed bias was 40%.Given that a worker was other race, the probability that the worker had claimed bias was 0%.
-Referring to Scenario 4-10, what is the probability that a randomly selected worker is not black and had not claimed bias?

Accepted Answer

The answer of SCENARIO 4-10
Are whites more likely to claim...

Question 18

The closing price of a company's stock tomorrow can be lower, higher or the same as today's closing price.Based on the closing price of the stock collected over the last month, 25% of the days the closing price was higher than previous day's closing price, 45% was lower than previous day's and 30% was the same as previous day's.Based on this information, the probability that tomorrow's closing price will be higher than today's is 25%.This is an example of using which of the following probability approach?

Accepted Answer

A) A priori probability 
B) Empirical probability 
C) Subjective probability 
D) Conditional probability 
A) A priori probability 
B) Empirical probability 
C) Subjective probability 
D) Conditional probability

Question 19

SCENARIO 4-2
An alcohol awareness task force at a Big-Ten university sampled 200 students after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm.The following result was obtained. $$\begin{array} { | l | l | l | } 
\hline & \text { Did Well on Midterm } & \text { Did Poorly on Midterm } \
\hline \text { Studying for Exam } & 80 & 20 \
\hline \text { Went Bar Hopping } & 30 & 70 \
\hline
\end{array}$$
-Referring to Scenario 4-2, what is the probability that a randomly selected student did well on the midterm or went bar hopping the weekend before the midterm? a) $30 / 200$ or $15 \%$
b) $( 80 + 30 ) / 200$ or $( 30 + 80 ) / 200$ or $55 \%$
c) $( 30 + 70 ) / 200$ or $( 70 + 30 ) / 200$ or $50 \%$
d) $( 80 + 30 + 70 ) / 200$ or $( 110 + 100 - 30 ) / 200$ or $90 \%$

Accepted Answer

The answer of SCENARIO 4-2
An alcohol awareness task force at...

Question 20

If two equally likely events A and B are mutually exclusive, what is the probability that event Aoccurs?

Accepted Answer

A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given. 
A) 0. 
B) 0.50. 
C) 1.00. 
D) Cannot be determined from the information given.

If $\mathrm { P } ( A \text { and } B ) = 0$ , then A and B must be collectively exhaustive.

If P (A or B) = 1.0, then A and B must be collectively exhaustive.

Seven passengers are on a waiting list for an overbooked flight.As a result of cancellations, 3 seats become available.How many ways can those 3 available seats be filled regardless of the order?

If two events are independent, what is the probability that they both occur?

All the events in the sample space that are not part of the specified event are called

If $\mathrm { P } ( A \text { and } B ) = 0$ , then A and B must be mutually exclusive.

If two equally likely events A and B are mutually exclusive, what is the probability that event Aoccurs?

Defining and Collecting Data

Organizing and Visualizing Variables

Numerical Descriptive Measures

Discrete Probability Distributions

The Normal Distribution

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Chi-Square Tests

Simple Linear Regression

Multiple Regression

Business Analytics

Filters

Exam 4: Basic Probability

If P(A and B)=0\mathrm { P } ( A \text { and } B ) = 0P(A and B)=0 , then A and B must be collectively exhaustive.

If P (A or B) = 1.0, then A and B must be collectively exhaustive.

Seven passengers are on a waiting list for an overbooked flight.As a result of cancellations, 3 seats become available.How many ways can those 3 available seats be filled regardless of the order?

If two events are independent, what is the probability that they both occur?

All the events in the sample space that are not part of the specified event are called

If P(A and B)=0\mathrm { P } ( A \text { and } B ) = 0P(A and B)=0 , then A and B must be mutually exclusive.

If two equally likely events A and B are mutually exclusive, what is the probability that event Aoccurs?

Defining and Collecting Data

Organizing and Visualizing Variables

Numerical Descriptive Measures

Discrete Probability Distributions

The Normal Distribution

Sampling Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Chi-Square Tests

Simple Linear Regression

Multiple Regression

Business Analytics

Filters

If $\mathrm { P } ( A \text { and } B ) = 0$ , then A and B must be collectively exhaustive.

If $\mathrm { P } ( A \text { and } B ) = 0$ , then A and B must be mutually exclusive.