CHAPTER 4 QUIZ 2
QUESTION 1
A survey of the undergraduates at The University of Nowhere is taken and the results show
that 55% of all undergraduates are female. It is also discovered that 25% of all
undergraduates belong to a Greek organization (fraternity or sorority). When the results are
further examined, it is found that 40% of the males belong to a Greek organization. What is the
probability that one randomly selected undergraduate will be either a female or belong to a
Greek organization?
.55
.73
.80
.07
.87
QUESTION 2
An advertising campaign is being developed to promote a new bookstore opening in the newest
mall development. To develop an appropriate mailing list it has been decided to purchase lists
of credit card holders from MasterCard and American Express. Combining the lists they find the
following: 40% of the people on the list have only a MasterCard and 10% have only an American
Express card. Another 20% hold both MasterCard and American Express. Finally, 30% of those
on the list have neither card. Suppose a person on the list is known to have a MasterCard. What
is the probability that person also has an American Express Card?
.20
.33
.18
.70
.90
QUESTION 3
Students will either go to class or not - two possible outcomes. An experiment consists of
randomly selecting 4 students and then following these 4 students into the Fine Arts
Building and determining whether or not they go to class. How many sample points (elements)
exist in the above experiment?
2
4
12
16
QUESTION 4
A builder wants to increase the variety of homes he offers for sale. He meets with an architect
and interior designed and they provide him with 3 different interior plans that can be combined
with any of 5different home exteriors. How many different homes can build?
8
10
15
30
QUESTION 5
The Atlantic Soccer League is considering a Super Ten Soccer Tournament. The top 10 soccer
teams in the southeast, based on past records, would be members of a "Super Ten
Conference". For the tournament each team would play every other team in the conference
once during the season and the team winning the most games would be declared the national
champion. How many games would the league commissioner have to schedule each year?
45
50
125
14
QUESTION 6
In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of
the females attended college, while 78% of the males attended college. A management trainee
is selected at random. What is the probability that the person selected is a female who did NOT
attend college?
0.20
0.08
0.25
0.80
QUESTION 7
What is the probability that the person selected is a male who did NOT attend college?
0.044
0.440
0.256
0.801
QUESTION 8
In the Happy Hilltop Health Home, 10% of the residents play shuffleboard, 20% of the residents
play poker, and 50% of the residents garden. If 15% of the residents play poker and garden and
30% of the residents play both shuffleboard and poker, find the probability that a resident plays
poker, given that they garden.
30%
40%
20%
50%
QUESTION 9
Container 1 has 8 items, 3 of which are defective. Container 2 has 5 items, 2 of which are
defective. If one item is drawn from each container:
What is the probability that both items are not defective?
0.3750
0.3846
0.1500
0.6154
0.2000
QUESTION 10
A recent article in the American Journal of Critical Care presented the results of a study on the
recovery time for patients in Surgical Units versus the ICU ( Intensive care unit). Data was
collected for the study and the following table was presented in the article, breaking down the
study participants by gender and location during their hospital stay. If a participant in the study
is randomly selected, given that the person selected is a female, what is the probability that she
was in ICU?
Given this person is a female, what is the probability that she is from ICU?
10/22
10/17
10/48
12/22
QUESTION 11
Consider the following sample space, S, and several events defined in it. S = {Albert, Betty, Abel,
Jack, Patty, Meagan}. If event F = {Betty, Patty, Meagan}, event H = {Abel, Meagan}, and event P
= {Betty, Abel}, then F ∩ H is ___________.
{Meagan}
{Betty, Patty, Abel, Meagan}
empty, since F and H are complements
empty, since F and H are independent
empty, since F and H are mutually exclusive
QUESTION 12
F ∪ H is ___________.
{Meagan}
{Betty, Abel, Patty, Meagan}
empty, since F and H are complements
empty, since F and H are independent
empty, since F and H are mutually exclusive
QUESTION 13
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 either overweight or exercises regularly or both?
0.40
0.38
0.20
0.42
0.10
QUESTION 14
What is the probability that a randomly selected student is overweight given that this student
exercises regularly?
0.40
0.38
0.20
0.42
0.10
QUESTION 15
The probability that an event, Event A, occurs is 0.70. The probability of another event, Event B,
occurs 0.67. The probability of both A and B occur is 0.50. The probability that either Event A or
Event B occurs is __________.
0.87
0.53
1.37
None of these answers are correct.
QUESTION 16
The table below provides summary information about students in a class. The sex of each
individual and their age is given.
If a student is randomly selected from this group, what is the probability that the student is
male?
0.12
0.48
0.50
0.52
0.68
QUESTION 17
Use same table as Q 16. The sex of each individual and their age is given.
If a student is randomly selected from this group, what is the probability that the student is a
female who in under 20 years old?
0.08
0.18
0.52
0.26
0.78
QUESTION 18
There is a 30% chance that the economy will be good next year and a 70% chance that it will be
bad. If the economy is good, there is a 60% chance of a bull market, a 30% chance of a normal
market, and a 10% chance of a bear market. If the economy is bad, there is a 15% chance of a
bull market, 30% chance of a normal market, and a 55% chance of a bear market.
What is the probability of having a good economy and a bull market?
0.90
0.18
0.30
0.45
QUESTION 19
There is a 30% chance that the economy will be good next year and a 70% chance that it will be
bad. If the economy is good, there is a 60% chance of a bull market, a 30% chance of a normal
market, and a 10% chance of a bear market. If the economy is bad, there is a 15% chance of a
bull market, 30% chance of a normal market, and a 55% chance of a bear market.
Given the market is a bull market next year, what is the probability that the economy is good?
0.63
0.30
0.48
0.60
QUESTION 20
There is a 30% chance that the economy will be good next year and a 70% chance that it will be
bad. If the economy is good, there is a 60% chance of a bull market, a 30% chance of a normal
market, and a 10% chance of a bear market. If the economy is bad, there is a 15% chance of a
bull market, 30% chance of a normal market, and a 55% chance of a bear market.
Given the market is a normal market next year, what is the probability that the economy is
good?
0.30
0.45
0.31
0.70
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