Question 1

SCENARIO 4-3
A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or
chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger
and 80 preferred chicken.55 of the children preferred hamburger.
-Referring to Scenario 4-3, the probability that a randomly selected individual is a child or prefers
hamburger is __________.

Accepted Answer

The answer of SCENARIO 4-3
A survey is taken among customers...

Question 2

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, set up a contingency table.

Accepted Answer

The answer of SCENARIO 4-9
A survey conducted by the Segal...

Question 3

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

The answer of SCENARIO 4-9
A survey conducted by the Segal...

Question 4

SCENARIO 4-3
A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or
chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger
and 80 preferred chicken.55 of the children preferred hamburger.
-Referring to Scenario 4-3, the probability that a randomly selected individual is an adult or a child
is __________.

Accepted Answer

The answer of SCENARIO 4-3
A survey is taken among customers...

Question 5

SCENARIO 4-3
A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or
chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger
and 80 preferred chicken.55 of the children preferred hamburger.
-Referring to Scenario 4-3, the probability that a randomly selected individual is a child and
prefers chicken is __________.

Accepted Answer

The answer of SCENARIO 4-3
A survey is taken among customers...

Question 6

SCENARIO 4-3
A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or
chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger
and 80 preferred chicken.55 of the children preferred hamburger.
-Referring to Scenario 4-3, the probability that a randomly selected individual is an adult and
prefers chicken is __________.

Accepted Answer

The answer of SCENARIO 4-3
A survey is taken among customers...

Question 7

SCENARIO 4-3
A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or
chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger
and 80 preferred chicken.55 of the children preferred hamburger.
-Referring to Scenario 4-3, assume we know that a person prefers hamburger.The probability that
this individual is a child is __________.

Accepted Answer

The answer of SCENARIO 4-3
A survey is taken among customers...

Question 8

SCENARIO 4-3
A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or
chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger
and 80 preferred chicken.55 of the children preferred hamburger.
-Referring to Scenario 4-3, the probability that a randomly selected individual is an adult is
__________.

Accepted Answer

The answer of SCENARIO 4-3
A survey is taken among customers...

Question 9

True or False: If P(A and B)= 0, then A and B must be collectively exhaustive.

Accepted Answer

If P(A and B) = 0, it means that events A and B cannot occur simultaneously, indicating they are mutually exclusive, not collectively exhaustive.

Question 10

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, if a company is selected at random, what is the probability that the
company is small to mid-sized and did not offer stock options to their board members?

Accepted Answer

The answer of SCENARIO 4-9
A survey conducted by the Segal...

Question 11

You know that the probability of a randomly selected student will cheat on an exam is 1%.You
Also know that the probability of a randomly selected student will cheat on an exam knowing that
His/her fellow classmate is cheating on the exam is also 1%.Which of the following is true about
The event of "the randomly selected student cheating on an exam" and "his/her classmate is
Cheating on the exam"?

Accepted Answer

The probability of a student cheating is the same regardless of whether their classmate is cheating, indicating that the events are independent.

Question 12

True or False: If P(A and B)= 1, then A and B must be collectively exhaustive.

Accepted Answer

If P(A and B) = 1, then A and B occur together with probability 1. This means that A and B are the only possible outcomes, and therefore they are collectively exhaustive.

Question 13

SCENARIO 4-3
A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or
chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger
and 80 preferred chicken.55 of the children preferred hamburger.
-Referring to Scenario 4-3, assume we know the person is a child.The probability that this
individual prefers hamburger is __________.

Accepted Answer

The answer of SCENARIO 4-3
A survey is taken among customers...

Question 14

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, if a randomly selected company offered stock options to their board
members, what is the probability that it is a large company?

Accepted Answer

The answer of SCENARIO 4-9
A survey conducted by the Segal...

Question 15

SCENARIO 4-3
A survey is taken among customers of a fast-food restaurant to determine preference for hamburger or
chicken.Of 200 respondents selected, 75 were children and 125 were adults.120 preferred hamburger
and 80 preferred chicken.55 of the children preferred hamburger.
-Referring to Scenario 4-3, assume we know that a person prefers chicken.The probability that
this individual is an adult is __________.

Accepted Answer

The answer of SCENARIO 4-3
A survey is taken among customers...

Question 16

True or False: To ethically advertise a school lottery scheme to try to raise money for the
athletic department, the organizer of the lottery does not need to explicitly specify the probability
of each of the prize in the lottery.

Accepted Answer

Ethical advertising requires transparency, including disclosing the odds of winning, to ensure participants are fully informed about their chances.

Question 17

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, if a randomly selected company is a large company, what is the
probability that it offered stock options to their board members?

Accepted Answer

The answer of SCENARIO 4-9
A survey conducted by the Segal...

Question 18

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, if a company is selected at random, what is the probability that the
company offered stock options to their board members?

Accepted Answer

The answer of SCENARIO 4-9
A survey conducted by the Segal...

Question 19

True or False: If P(A and B)= 1, then A and B must be mutually exclusive.

Accepted Answer

If P(A and B) = 1, it means that events A and B always occur together, which is the opposite of being mutually exclusive. Mutually exclusive events cannot occur simultaneously.

Question 20

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, if a company is selected at random, what is the probability that the
company is small to mid-sized or offered stock options to their board members?

Accepted Answer

The answer of SCENARIO 4-9
A survey conducted by the Segal...

Quiz 4: Basic Probability

True or False: If P(A and B)= 0, then A and B must be collectively exhaustive.

True or False: If P(A and B)= 1, then A and B must be collectively exhaustive.

True or False: To ethically advertise a school lottery scheme to try to raise money for the athletic department, the organizer of the lottery does not need to explicitly specify the probability of each of the prize in the lottery.

True or False: If P(A and B)= 1, then A and B must be mutually exclusive.