Question

Passengers arrive at a security check point of a small airport according to a Poisson process at a mean rate of 40 per hour. The time required to screen a passenger and his/her luggage has an exponential distribution with a mean of 1 minute, and this process must be completed before the next passenger can proceed through the screening process. a. What is the average number of passengers waiting in line at the security check point? b. Due to power outage, screening has been suspended for 15 minutes, while new passengers continued to arrive at the check point. Determine the expected number of passengers that will be waiting in line when the screening process resumes

          Passengers arrive at a security check point of a small airport
according to a Poisson process at a mean rate of 40 per hour. The
time required to screen a passenger and his/her luggage has an
exponential distribution with a mean of 1 minute, and this process
must be completed before the next passenger can proceed through the
screening process.
a. What is the average number of passengers waiting in line at the
security check point?
b. Due to power outage, screening has been suspended for 15
minutes, while new passengers continued to arrive at the check
point. Determine the expected number of passengers that will be
waiting in line when the screening process resumes

Added by Gabriel T.

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