*30. Let [N(t), t > 0} denote a Poisson process with rate A and define Y{t) to...

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*30. Let [N(t), t > 0} denote a Poisson process with rate A 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[r(/), Y(t + s)].

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