Question: Let X(t) be defined by X(t) = U cos(t) + V sin(t) for -infinity < t < infinity where U and V are iid random

Let X(t) be defined by

X(t) = U cos(t) + V sin(t) for -infinity < t < infinity

where U and V are iid random variables. Each of which assumes the values -2 and 1, with probabilities of 1/3 and 2/3, respectively. Show that the random process X(t) is stationary and/or wide-sense stationary.

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