Answer the question below based on the picture:

(a)How many customers are expected on the average at the coffee maker machine?

(b)If the cafeteria management installs an automatic vending machine that dispenses a cup of coffee at a constant time of 10 seconds, howmany customers are expected on the average at the coffee maker machine?

and how long would you expect it take to get a cup of coffee?

UMSKAL cafeteria has a self-services coffee maker machine for the convenience of its customers. Arrivals at the coffee maker machine every morning is at the rate of three per minute follow a Poisson distribution, and for self-service customers take about 12 seconds, exponentially distributed. (a) How many customers are expected on the average at the coffee maker machine? [3 Marks] (b) If the cafeteria management installs an automatic vending machine that dispenses a cup of coffee at a constant time of 10 seconds, how many customers are expected on the average at the coffee maker machine? [4 Marks] and how long would you expect it take to get a cup of coffee? [3 Marks]