Question: 4.4. Let W,, W, . . . be the waiting times in a Poisson process {X(t); t ? 0} of rate A. Independent of the

4.4. Let W,, W, . . . be the waiting times in a Poisson process {X(t);

t ? 0} of rate A. Independent of the process, let Z, ZZ, . . . be independent and identically distributed random variables with common probability density function f(x), 0 < x < oo. Determine Pr{Z > z1, where Z=min {W,+Z,,W,+Z,,...}.

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