Looking for how the answers were solved for problem 2. Answers were: 2a) 0.4512, 2b) 0.6988, 2c) 0.3012. I'm having some trouble understanding exponential probability distribution. This concept will be on an upcoming test this week so I really need to understand it. Thanks! :)

. Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. u weekday mornings. arrivals to the drive-up teller window occur at random. with an arrival rate of 24- customers per hour or [1.4 customers per minute. a. What is the mean or expected number of customers that will arrive in a five-minute period? b. Assume that the Poisson probability distribution can be used to describe the arrival process. Use the arrival rate in part [a] and compute the probabilities that exactly [1. 1. 2. and 3 customers will arrive during a fiveminute period. c. Delays are expected if more than three customers arrive during any veminute period. What is th e probability that delays will o ccur'El . ln the Willow Brook National Bank waiting line system [see Problem 1]. assume that the service times for the driveup teller follow an exponential probability distribution with a service rate of 36 customers per hour. or [L6 customers per minute. Use the exponential probability distribution to answer the following questions: a. What is the probability that the service time is one minute or less?I b. What is the probability that the service time is two minutes or less? c. What is the probability that the service time is more than two minutes