Part I.
Multiple Choice Questions
There are four choices for each of the following questions and only
one
of them is correct.
Circle
the
correct answer for each of the questions. (Total mark: 10; 2 marks for each correctly circled question and
0 otherwise)
1. You are given that
P
(
A
) = 0
.
6,
P
(
B
) = 0
.
7, and
P
(
A
∪
B
) = 0
.
9. Which of the following statements is
true ?
(a)
A
and
B
are independent
(b)
P
(
A
∩
B
) = 0
.
42
(c)
A
and
B
are mutually exclusive events
(d)
P
(
B

A
) = 2
/
3.
2. If
P
(
A
) = 0
.
30,
P
(
B
) = 0
.
40, and
P
(
A

B
) = 0
.
6 then
P
(
A
∪
B
) is
(a) 0
.
7
(b) 0
.
1
(c) 0
.
8
(d) 0
.
46
3. Which of the following is an example of a binomial experiment?
(a) A shopping mall is interested in the income level of its customers and is taking a survey to gather
information.
(b) A business ﬁrm introducing a new product wants to know how many purchases its clients will make
each year.
(c) A sociologist is researching an area in an eﬀort to determine the proportion of households with a
male head of household.
(d) A study is concerned with the average number of hours worked by high school students.
4. Let
X
be a discrete random variable with probability function
f
(
i
) =
P
(
X
=
i
) =
i/
6,
i
= 1
,
2
,
3. What
is
E
(
X
2

1)?
(a) 3
(b) 4
(c) 5
(d) 6
5. Which one of the following statements is true.
(a) The Hypergeometric random variable is the number of successes that occur in a certain period of time
or space.
(b) To determine the probability of a given number of defective items in a shipment, when the sam
pling is without replacement, the appropriate probability distribution is a Hypergeometric distribution.
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 Fall '08
 Burbidge,John
 Normal Distribution, Probability theory, 5%, 15%, 1 1 2k

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