Question: Let (X(t)=sin Phi t), where (Phi) is uniformly distributed over the interval ([0,2 pi]). Verify: (1) The discrete-time stochastic process ({X(t) ; t=1,2, ldots}) is

Let \(X(t)=\sin \Phi t\), where \(\Phi\) is uniformly distributed over the interval \([0,2 \pi]\).

Verify: (1) The discrete-time stochastic process \(\{X(t) ; t=1,2, \ldots\}\) is weakly, but not strongly stationary

(2) The continuous-time stochastic process \(\{X(t), t \geq 0\}\) is neither weakly nor strongly stationary.

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