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
3. Which of the following is an example of a binomial experiment?
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)?
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.
(c)
The Poisson distribution is applied to events for which the probability of occurrence over a given
span of time, space, or distance is very small.
(d)
The Poisson random variable is a discrete random variable with finitely many possible values.
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 Fall '06
 various
 Normal Distribution, Probability theory, 5%, WI, 1 2K

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