EE 3008. Random Process Tutorial Questions
Q1)
A coin is to be tossed three times. What is the probability that there will be two heads
and one tail.
Q2)
Given that the random variable X has density function
2
0
1
()
0
otherwise
x
<x<
fx
⎧
=
⎨
⎩
Find Pr(0.5<x<3/4) and Pr(0.5<x<0.5).
Q3)
Find the mean value and the variance of a random variable X that is uniformly
distributed over the interval [1,4].
Q4)
A signal can take any value between 0 and A/2 with equal probability. What is its mean
value and average power?
Q5)
A signal can take any value between A/2 and A/2 with equal probability. What is its
mean value and average power?
Q6)
Consider a baseband communication system. Let the transmission variable
x
have two
equally probable values:
x
= 1
representing 0 and
x=
−
1
representing 1. The received
signal is
y
=
x
+
n
where
n
is the noise variable. Denote by
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 Fall '08
 PingLi
 Probability theory, Average Power, mean value

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