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 probability that no customers are there in the system.
a. 50%
b. 60%
c. 70%
d. 45%
a. 50%
Business
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