Quantitative Analysis for ManagementISBN 978-0-13-214911-2Please show all steps3-27Customers arrive at an automated coffee vending machine at a rate of 4 per minute, following a Poisson distribution. The coffee machine dispenses a cup of coffee in exactly 10 seconds. (a) What is the average number of people waiting in line? (b) What is the average number in the system? (c) How long does the average person wait in linebefore receiving service?