Problem $18-2($Algo$)$

A vending machine dispenses hot chocolate or coffee. Service time is $20$ seconds per cup and is constant. Customers arrive at a mean

rate of $63$ per hour, and this rate is Poisson$-$distributed.

a$.$ Determine the average number of customers waiting in line.

Note: Round your answer to $2$ decimal places.

Average number of customer

b$.$ Determine the average time customers spend in the system.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

minutes

c$.$ Determine the average number of customers in the system.

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.