Example 8.5 Assume that X(t) is a random process defined as follows: X(t) = A cos(2π + $) where A is a zero-mean normal random variable with variance = 2 and is a uniformly distributed random variable over the interval - ≤ ≤7. A and are statistically independent. Let the random variable Y be defined as follows: Y = -6₁ X(t)dt Determine 1. the mean E[Y] of Y. 2. the variance of Y.

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