Question

In: Statistics and Probability

All airport passengers at the Capital City Airport must pass through a security screening area before...

All airport passengers at the Capital City Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility managers must decide how many to open at any particular time. The average time for processing one passenger at each screening station is 0.5 minutes. On Saturday morning the arrival rate is 3.3 passengers per minute. Assume that processing times at each screening station follow an exponential distribution and those arrivals following a Poisson distribution. Suppose two of the three screening stations are open on Saturday morning. Show steps to find:

  1. The probability a passenger will have to wait.
  2. What is the average number of passengers that will be waiting for security screening?
  3. The average time a passenger waits in line.
  4. What is the average time required for a passenger to pass through security screening?

    e. What is the probability of five passengers in the screening stations?

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Expert Solution

orchestra answered 2 years ago
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