Statistics Solutions

(See Solution) Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate

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.

  1. . What is the expected number of arrivals per hour? What is the standard deviation of arrival rates?
  2. . What is the probability of 5 arrivals in a one minute period?
  3. . What is the probability that three or fewer passengers arrive in a one-minute period?
  4. . What is the probability of at least 2 arrivals in a 15-second period?
  5. . What is the probability of at least 9 arrivals in a 45-second period?

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