The owner of an amusement park has decided to open a second entry booth and hire another employee to service customers entering the park. Customers arrive at the rate of 20 per hour and will wait in a single line until one of the two employees is available to provide service. The average service time of both employees is 2 minutes to provide service. The arrival rate follows Poisson distribution, and the service time follows a negative exponential distribution. Determine the average time the customer spends in the system.
a. 2.25 minutes
b. 3 minutes
c. 0.25 minutes
d. 1 minute
a. 2.25 minutes
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