The Fast Shop Drive-In Market has one checkout counter where one employee operates the cash register. Customers arrive at the rate of 24 per hour according to a Poisson distribution, service times are exponentially distributed, with a mean rate of 30 customers per hour. The marketing manager want to determine:
a) The probability that the server will be busy and customer will have to wait.
b) The probability that the server will be idle and a customer can be served.