PLEASE HELP ME WITH THIS PROBLEM. PLEASE SHOW ALL STEPS ON HOW TO GET TO THE ANSWER. SHOW ALL WORK, I DON'T UNDERSTAND IT. THANK YOU!!

a) What is the average wait in line in minutes? (round your response to two decimal places).

b) What is the average number of people in line? (round your response to three decimal places).

c) Mehmet raises the price to $ 5 per cup and takes 30 seconds off the service time. However, because the coffee is now so expensive, the arrival rate drops to 10 per hour.

The average wait time in the line = ____ minutes (round your response to three decimal places).

The average number of customers waiting in line = _____ customers (round your response to three decimal places)

Altug's Coffee Shop decides to install an automatic coffee vending machine outside one of its stores to reduce the number of people standing in line inside. Mehmet Altug charges $3.50 per cup. However, it takes too long for people to make change. The service time is a constant 3.00 minutes, and the arrival rate is 15 per hour (Poisson distributed). minutes (round your response to two decimal a) The average wait time in the line = places)