Problem 11-01 (Algorithmic) Willow Brook National Bank operates a drive-up caller window that allows customers to complete bank transactions without getting out of their car. On weekday momings, arrival to the drive-up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minut. 1. What is the mean or expected number or customers that will arrive in a ten-minute period? Round your answer to the nearest whole number per ten minute period A b. Assume that the poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part(s) and compute the probabilities that exactly 0, 1, 2 and 3 customers will amive during a un minute period. Round your answers to four decimal places x P(x) 0 1 2 3 c. Delays are expected if more than three customers arrive during any ten minute period. What is the probability that delays will occur? Round your answer to four decimal places A(Delay Problema) - arty's Barber Shop has one barber, Customers have an amal rate of 2.2 customers per hour, and haircuts are given with a service rate of 6 per hour. Use the Poisson arrivals and exponential service times model to answer the following questions: . What is the probability that no units are in the system? Round your answer to four decimal places Po- b. What is the probability that one customer is receiving a haircut and no one is waiting Round your answer to four decimal places. P- c. What is the probability that one customer is receiving a haircut and one customer is waiting? Round your answer to four decimal places P d. What is the probability that one customer is receiving a haircut and two customers are waiting Round your answer to four decimal places P3 . What is the probability that more than two customers are waiting? Round your answer to four decimal places, (More than than 2 waiting) - . What is the average time a customer waits for service Round your answer to four decimal places We minutes