1. (1) Verify that the probability satisfies the integral equation (2) Determine p(t) if the cycle lengths are exponential with parameter λ. 2. An ordinary renewal process has the renewal function...

1. (1) Verify that the probability

satisfies the integral equation

(2) Determine p(t) if the cycle lengths are exponential with parameter λ.

2. An ordinary renewal process has the renewal function H(t) = t /10. Determine the probability P(N(10) ≥ 2).