31. Let {N(t), t 0} denote a Poisson process with rate and define Y(t) to...

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31. Let {N(t), t  0} denote a Poisson process with rate λ and define Y(t) to be the time from t until the next Poisson event.

(a) Argue that {Y(t), t  0} is a stationary process.

(b) Compute Cov[Y(t),Y(t + s)].

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