Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 7 passengers per minute. a. Compute the probability...

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 7 passengers per minute.

a. Compute the probability of no arrivals in a one-minute period (to 4 decimals).

b. Compute the probability that three or fewer passengers arrive in a one-minute period (to 4 decimals). For this question, make sure to carry at least four decimal digits if manually calculating the probability.

c. Compute the probability of no arrivals in a 15-second period (to 4 decimals).

d. Compute the probability of at least one arrival in a 15-second period (to 4 decimals).