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All airplane passengers at the Lake City Regional Airport must pass through a security screening area...

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Basic Math

All airplane passengers at the Lake City Regional Airport mustpass through a security screening area before proceeding to theboarding area. The airport has two screening stations available,and the facility manager must decide how many to have open at anyparticular time. The service rate for processing passengers at eachscreening station is 4 passengers per minute. On Monday morning thearrival rate is 4.8 passengers per minute. Assume that processingtimes at each screening station follow an exponential distributionand that arrivals follow a Poisson distribution. When the securitylevel is raised to high, the service rate for processing passengersis reduced to 3 passengers per minute at each screening station.Suppose the security level is raised to high on Monday morning.

  1. The facility manager's goal is to limit the average number ofpassengers waiting in line to 8 or fewer. How many screeningstations must be open in order to satisfy the manager's goal?

    Having 2  station(s) open satisfies the manager's goal tolimit the average number of passengers in the waiting line to atmost 8.
  2. What is the average time required for a passenger to passthrough security screening? Round your answer to two decimalplaces.

    W =  minutes

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