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

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)].