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Consider the random process X(t) = A + B - Sin(27r 'fo ' t + 6), where 9 is a random variable uniformly distributed on [0,275] , A is uniformly distributed on [33], and B is a discrete random variable with equally likely values of [1. 2, 3, 4,5]. All random variables, 0, A, and B, are independent. (a. .) Find the expected mean value using the pdf's a) . Find the time average mean value. Hint let T = 1/ (2 - f0). T _ 1 (X(t)) = 21-133: - _TX(t) - dt (c. ) Find the 2nd moment using the expected values, E [X (t)2], computation (d. ) Find the time average of the squared signal (the power). Hint let T = 1/(2 - f0). 1 T 2 (X032) = T131; - f T(X(t)) -dt (e. ) Is this process stationary and ergodic? (e. ) Find the autocorrelation using the pdf' s RXX (t1, t2) = E [X (t1) - X (t2)]. Can the result be expressed in terms of RXX (I) , where 1' = t2 t1