In: Statistics and Probability
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?