Question# 1: Assume that Y is a random variable that is uniformly distributed between 0 and 2. If we define the random process X(t) = Y cos(2t), t≥0, find the autocovariance function of X(t). Question# 2: An ergodic random process X(t) has the autocorrelation function 4 36 + 1+ 72 a. Find the mean value of X(t). b. Find the mean-square value of X(t). c. Find the variance of X(t). Question# 3: A random process Y(t) has the power spectral density 16 Syy (W) = w² + 64 a. Find the average power in the process Y(t). b. Find the autocorrelation function of Y(t). Question# 4: A random process X(t) has a power spectral density given by w2 Sxx(w) 4- w≤6 0, otherwise Determine the average power in the process.