Solve the following questions.
|No of Customers||15||9||40||20||25||25||15||35|
and, . Compute SSE.
3.A new shopping mall is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 20 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed.
a.Find the probability that the employee is idle.
b.Find the average number of people receiving and waiting to receive information.
c.Find the average time a person seeking information spends at the desk.
4.A university cafeteria line in the student center is a self-serve facility in which students select the food items they want and they form a single line to pay the cashier. Student arrive at cashier at the rate of about three per minute according to a Possion distribution. The single cashier ringing up sales takes about 15 seconds per customers, following an exponential distribution.
Max Z = 50x + 18y
Subject to:2 x + y ≤ 100
x + y ≤ 80
andx, y ≥ 0.