An immigration agent Manila International Airport in the Philippines on the aver

Question

An immigration agent Manila International Airport in the Philippines on the average could process 120 entrants during an 8-hour shift, if he was busy all the time. The number of arrivals is based on Poisson distribution and the time to process each entrant is a random variable with an exponential distribution. On the average, an entrant arrives at his station once every six minutes. Assume a single server waiting line system and determine the expected number of entrants in the system.
a. 4.012 entrants
b. 3.344 entrants
c. 5.012 entrants
d. 2.012 entrants
e. 1.344 entrants

Explanation / Answer

arrival rate = 10 person per hour

service rate = 15 persons per hour

therefore

expected number of entrants in the system

= /( - ) = 10/5

= 2 entrants

therefore answer will be d.

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