Please provide steps and explanations, thank you!

Part 1

Let X(t, E) denote a random process, where t denotes time and & denotes the outcome of the random experiment. Which one or more of the following statements about X(t, E) is/are always true? If t1*t2, then X(t1. E) and X(t2, E) are independent. For a given time t. X(t, E) is a random variable. If t1*t2, then X(t1, E) and X(t2, E) are uncorrelated. The first order pdf of X(t, E) does not vary with t. For a given outcome E, X(t, E) is a non-random (i.e., deterministic) function of time.The autocorrelation of a zero mean WSS process X(t), Rx (t1, t2) = Rx (t1 - t2) = Rx (T). wherer = t] to is shown below: Autocorrelation of X(1) 6.8 RX(T ) NNNN WWWW 0.4 0.2 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 (a) What is the average power of X(t)? (b) Let Y(t)=X(t-20)+X(t-12). Find E[Y(t)]. (c) Find the correlation coefficient between X(20) and X(12). Numerical answer should be given to two decimal places