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

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Question

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

a. Compute the probability of no arrivals in a one-minute period (to 6 decimals)

b. Compute the probability that three or fewer passengers arrive in a one-minute period (to 4 decimals)

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)

math Statistics-And-Probability

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Answer 1

Answer #1

Let the random variable be X.

Here X= Number of passengers arrive at the passenger screening facility at a major international airport.

We have given that the mean arrival rate is 10 passenger per minute.

Clearly, X~ poisson () ,where =10.

a) Now we have to compute no arrivals in a one minute period.That is, X=0

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Answer 2

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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 8 passengers per minute.