At a call center, calls come in at an average rate of four callsper minute. Assume that the time elapsed from one call to the nexthas the exponential distribution, and that the times between callsare independent.
a. Find the average time between two successive calls.
b. Find the probability that after a call is received, the nextcall occurs in less than ten seconds.
c. Find the probability that less than five calls occur within aminute.
d. Find the probability that more than 40 calls occur in aneight-minute period.
e. Find a 95% confidence interval for the number of calls in aminute.
