Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is 10 passengers per minutes. (a)  Compute the probability of no arrival in a one-minute period. (b)  Compute the probability that three or fewer passengers arrive in a one-minute period. (c)  Compute the probability of no arrival in a 30-second period.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Airline passengers arrive randomly and independently at the passenger-screening facility
at a major international airport. The mean arrival rate is 10 passengers per minutes.
(a)  Compute the probability of no arrival in a one-minute period.
(b)  Compute the probability that three or fewer passengers arrive in a one-minute period.
(c)  Compute the probability of no arrival in a 30-second period.
(d)  Compute the probability at least one passenger arrives in a 30-seconds period.

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