Assume that certain events (say, power surges) occur as a poisson process with rate =3 per hour. these events cause damage to certain system (say, a computer), thus a special protecting unit has been designed. that unit now has to be removed from the system for 10 minutes for service.
(a) assume that a single event occurring in the service period will cause the system to crash. what is the probability that the system will crash?
(b) assume that the system will survive a single event, but two events occurring in the service period will cause it to crash. what is now the probability that the system will crash?