(Answered) : A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a m

A vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 69 per hour, and this rate is Poisson-distributed.

a.
Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.)

Average number of customer

b.
Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Average time minutes

c.
Determine the average number of customers in the system. (Do not round intermediate calculations.Round your answer to 2 decimal places.)