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,, Z2, ... be independent and identically distributed random variables with...

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,, Z2, ... be independent and identically distributed random variables with common probability density function
f(x),
0
x
< do.="" determine="" pr{z=""> z }, where
Z = min{W, + Z„ W2 + Z2, . }.