Assume that the time between arrivals of flights from Abuja

Assume that the time between arrivals of flights from Abuja to Tripoli in Nigeria Airways is
exponentially distributed with a mean of one hour.
(a) What is the probability that more than three flights arrive within an hour?
(b) If 30 separate one-hour intervals are chosen, what is the probability that no interval
contains more than three arrivals?
(c) Determine the length of an interval of time (in hours) such that the probability that no
arrivals occur during the interval is 0.01.

Solution