Customers at an Amusement Park Arrive at the Rate of 10

Multiple Choice

Customers at an amusement park arrive at the rate of 10 customers per hour.The entry booth is staffed by one employee.The mean service time at the booth to provide service to each customer is 5 minutes.The arrival rate follows a Poisson distribution,and the service time at the booth follows a negative exponential distribution.Determine the probability of exactly five customers in the system.

A) 4.50%
B) 6.70%
C) 5.60%
D) 3.80%