Question: Random Processes: Let X(t) = Y + cos(at), where t is time and Y is a Gaussian random variable with mean zero and variance 1.

Random Processes: Let X(t) = Y + cos(at), where t is time and Y is a Gaussian random variable with mean zero and variance 1. (a) Find the pdf of X(0). (b) Find the pdf of X(1). (c) Is X(t) stationary? Hint: If Y is Gaussian, then Y + c is Gaussian for any constant c. To find the pdf of a Gaussian random variable, you only need to find the mean and variance

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