MAT2378B: Assignment 1
Due date: 07 October 2009
Total number of points: 34
Q
1.
The three events are shown on the Venn diagram:
aA
±²
A
aA
±²
B
aA
±²
C
Reproduce the Fgure 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. ±ind 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
and
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
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 Spring '09
 ALYAOTHMAN
 Probability theory, Randomness, Probability space, heart attack

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