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