Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minute.
Compute the probability of no arrivals in a 1 minute period.
Compute the probability that 3 or fewer passengers arrive in a 1 minute period.
Compute the probability of no arrivals in a 15 second period.
Compute the probability of at least 1 arrival in a 15 second period.
P(x) = e^-m * m^x / x!
(a) m = 10, x = 0
P(0) = e^-10 * 10^0 / 0! = 0.000045
This solution provides step-by-step calculations for computing probability.