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Stat 511
Sample Multiple Choice Questions
1.
If the probability density function of a continuous random variable
X
is
()
fx
.5
0
2
0
otherwise
xx
then,
(1
1.5)
Px
is
A.
.5625
B.
.3125
C.
.1250
D.
.4375
2.
If the probability density function of a continuous random variable
X
is
2
0
2
0
otherwise
kx
x
then the value of
k
is
A.
2
B.
.25
C.
.375
D.
any positive value greater than 2
3.
A continuous random variable
X
is uniformly distributed over the interval [10, 16].
The expected
value of
X
is
A.
16
B.
13
C.
10
D.
7
4.
Which of the following statements are correct?
A.
If the random variable
X
is normally distributed with parameters
and
,
then the mean
of
X
is
and the variance of
X
is
.
B.
The cumulative distribution function of any standard normal random variable
Z
is
(
)
( ).
P Z
z
z
C.
The standard normal distribution does frequently serve as a model for a naturally arising
population.
D.
The standard normal probability table can only be used to compute probabilities for normal
random variables with parameters
0 and
1.
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 Spring '08
 Staff
 Probability

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