X(t)is a wide sense stationary random process with average power equal to 1. Let ? denote a random variable with uniform distribution over [0, 2π] such that X(t) and ? are independent.
(a) What is E[X2(t)]?
(b) What is E[cos(2π fct +?)]?
(c) Let Y(t) = X(t) cos(2π fct +?). What is E[Y(t)]?
(d) What is the average power of Y(t)?