Calls to a telephone system follow a Poisson distribution with a mean of 3 calls per minute.

(a) What is the name applied to the distribution and parameter values of the time until the 8th call?

(b) What is the mean time until the 8th call?(c) What is the mean time between the 3rd and 4th calls?

(d) What is the probability that exactly two calls occur within one minute?

(e) If 5 separate one-minute intervals are chosen, what is the probability that all intervals conatin more than three calls?