Suppose the counts recorded by a Geiger counter follow a Poisson process with an average of three counts per minute.
(a) What is the probability that there are no counts in a 30-second interval ?
(b) Determine x, such that the probability that at least one count occurs before time x minutes is 0.95.
(c) Approximte the propability using normal approximations of 5 counts in 1 hr interval