A random process X (t) is defined by X (t) = A cos (2π f c

A random process X (t) is defined by X (t) = A cos (2p f c t), where A is a Gaussian-distributed random variable of zero means variance s2A. This random process is applied to an ideal integrator, producing the output
(a) Determine the probability density function of the output Y (t) at a particular time tk.
(b) Determine whether or not Y (t) is stationary.
(c) Determine whether or not Y (t) is ergodic.