Question

Let x(t) be a random process defined as X(t)=A.COS[2 pi.T+Theta],Where A is a Rayleigh distributed random variable with mean and variance E[A]=0.5,Variance A = 1 .The random variable theta is uniform distributed on the interval [-pi ,pi],which is statistically independent from A.

A. Compute E[X(t1) X(t2)],for t1=t2=3 , and t1=0.5, t2=2.5
B.is the process X(t)wide sense stationary ?justify your answer
C. Find fxt (xt).