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In: Statistics and Probability

Define a random process by X(t) = Asin(50*pi*t)+B, where A and B are independent random variables,...

Define a random process by X(t) = Asin(50*pi*t)+B, where A and B are independent random variables, E(A) = 0, SD(A) = 4, E(B) = -3, SD(B) = 5.

A. Determine the mean function of X(t)

B. Determine the autocovariance function of X(t)

C. determine the variance function of X(t)

D. is X(t) wide-sense stationary? how can you tell?

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