are statistically independent. Let the random variable Y be defined as follows: Y = = [₁ X(t)dt Determine 1. the mean E[Y] of Y. 2. the variance of Y.

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Assume that X(t) is a random process defined as follows:
X(t) = A cos(2 + 4)
where A is a zero-mean normal random variable with variance o
a uniformly distributed random variable over the interval -≤
are statistically independent. Let the random variable Y be defined as follows:
= 2 and is
≤. A and
Y =
X(t)dt
Determine
1. the mean E[Y] of Y.
2. the variance of Y.
Transcribed Image Text:Assume that X(t) is a random process defined as follows: X(t) = A cos(2 + 4) where A is a zero-mean normal random variable with variance o a uniformly distributed random variable over the interval -≤ are statistically independent. Let the random variable Y be defined as follows: = 2 and is ≤. A and Y = X(t)dt Determine 1. the mean E[Y] of Y. 2. the variance of Y.
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