Question: . Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 8 passengers per minute.

a). What is the expected number of arrivals per hour? What is the standard deviation of arrival rates?

b). What is the probability of 5 arrivals in a one minute period?

c). What is the probability that three or fewer passengers arrive in a one-minute period?

d). What is the probability of at least 2 arrivals in a 15-second period?

e). What is the probability of at least 9 arrivals in a 45-second period?