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Math 1313
Finite Math
Test 4 Supplemental Review
1.
Let
A
and
B
be events in a sample space S.
Suppose that
P
(
A
) = .45
, P
(
B
) = .38, and
= . 21.
Find each of the following:
)
(
B
A
P
∩
a.
)

(
B
A
P
b.
)

(
A
B
P
c.
)

(
c
B
A
P
d.
)

(
c
A
B
P
2.
Suppose
A
and
B
are independent events and
25
.
)
(
=
A
P
and
35
.
)
(
=
B
P
.
Find each of the
following:
a.
)
(
B
A
P
∩
b.
)
(
B
A
P
∪
3.
A pair of fair dice is cast.
Let E denote the event that the number landing uppermost on the
first die is a 5 and let F denote the event that the sum of the numbers landing uppermost is 6.
Determine whether E and F are independent events.
4.
Suppose that five green marbles and 8 yellow marbles are placed in an urn.
An experiment
consists of drawing 2 marbles from the urn in succession and without replacement.
What is the
probability that
a.
both marbles drawn are the same color?
b.
the second marble drawn is green?
c.
the second marble drawn is green, given that the first marble drawn was yellow?
5.
In a survey of 1000 eligible voters selected at random, it was found that 62% had a college
degree.
Additionally, the survey results showed that of the eligible voters who had a college
degree, 85% voted in the most recent senatorial election.
Furthermore, only 42% of the eligible
voters without a college degree voted in the same election.
Based on this information and
assuming it is representative of the general voting population, find the probability that a
randomly selected eligible voter
a.
voted in the last senatorial election.
b.
has a college degree and did not vote in the last senatorial election.
c.
does not have a college degree and did not vote in the last senatorial election.
6.
Use the same information as for problem 5 to answer these questions.
a.
Find the probability that a randomly selected eligible voter has a college degree if it is known
that s/he voted in the last senatorial election.
b.
Find the probability that a randomly selected eligible voter does not have a college degree if it
is known that s/he did not vote in the last senatorial election.
Math 1313:
Test 4 Supplemental Review
1
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View Full Document 7.
A national research institute published a study that showed that 45% of 10yearolds had
never had a cavity, 39% of 11yearolds had never had a cavity, and 32% of 12yearolds had
never had a cavity.
If a child is selected at random from a group of fourteen 10yearolds,
eighteen 11yearolds and nine 12year olds, and this child does not have a cavity, what is the
probability that the child is 12 years old?
8.
Families in a certain community were surveyed.
In this community 98% indicated that they
own more than 2 vehicles.
Of those that own more than 2 vehicles, 84% are a family of more
than 2.
Of those that do not own more than 2 vehicles, 31% are not a family of more than 2.
If a
family is chosen at random, what is the probability that that family
a.
does not own more than 2 vehicles?
b.
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This note was uploaded on 08/30/2010 for the course MATH Math 1313 taught by Professor Abdelnourahmedzaid during the Spring '10 term at University of Houston.
 Spring '10
 AbdelnourAhmedZaid
 Math, Addition

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