Events, occurring according to a Poisson process with rate A, are regis- tered by a counter. However, each time an event is registered the counter becomes inoperative for the next b units of time and does not register any new events that might occur during that interval Let R(t) denote the number of events that occur by time and are registered

(a) Find the probability that the first k events are all registered.

(b) Fort (n-1)b, find P{R(t) n}