Assignment 2
Due date: 7 October 2009
Total number of points: 34
Q
1.
The three events are shown on the Venn diagram:
A
B
C
Reproduce the figure and shade the region corresponding to the following events:
(a)
A
c
(b)
(
A
and
B
) or (
A
and
B
c
)
(c)
(
A
and
B
) or
C
(d)
(
B
or
C
)
c
(e)
(
A
and
B
)
c
and
C
Q
2.
(Q3.5) In a certain college, 55% of the students are women.
We take a sample of two students.
Find the
probability that
(a)
both are women;
(b)
at least on of the two students is a woman.
Q
3.
If
P
(
A
) = 0
.
3,
P
(
B
) = 0
.
2, and
P
(
A
∩
B
) = 0
.
1, determine the following probabilities:
(a)
P
(
A
c
)
(b)
P
(
A
or
B
)
(c)
P
(
A
c
and
B
)
(d)
P
(
A
and
B
c
)
(e)
P
((
A
or
B
)
c
)
(f)
P
(
A
c
or
B
)
Q
4.
In a study of the relationship between health risk and income, a large group of people were asked a series of
questions. Some of the responses are shown in the following table:
Income
Low
Medium
High
Smoke
634
332
247
Don’t smoke
1846
1622
1868
(a)
What is the probability that someone in this study smokes?
(b)
What is the conditional probability that someone in this study smokes, given that the person has high
income?
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 Spring '08
 Probability theory, Probability space, heart attack

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