Problem 1: Use the information below, to answer the questions that follow. Enter the formulas into the yellow cells so that the cells will show the information requested. Prairie State Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. On weekday mornings, arrivals to the drive-up teller window occur at random and follow a poisson distribution. The arrival rate is 20 customers per hour or 0.3333 customers per minute. Service times at the drive-up teller follow an exponential probability distribution with a service rate of 36 customers per hour or 0.6 customers per minute. Question 1 What is the probability that no customers are in the system? Question 2 What is the probability that 3 or more customers are in the system? Question 3 What is the average number of customers in line? Question 4 What is the average number of customers in the system? \begin{tabular}{l} EntertheEnterthearrivalrateserviceinthecellrateinthebelowthiscellbelowonethisone \\ \hline \end{tabular} Question 5 How long should a customer expect to wait (on average) before being served? Per hour