Willow Brook National Bank operates a drive-up teller window that allows customers to complete bank transactions without getting out of their cars. Onweekday mornings, arrivals to the drive-up teller window occur at random, with an arrival rate of 30 customers per hour or 0.5 customers per minute.Let's assume that the service times for the drive-up teller follow an exponential probability distribution with a service rate of 45 customers per hour, or0.75 customers per minute.Determine the following operating characteristics for the system. (Round your answers to four decimal places.)(a) The probability that no customers are in the system1353(b) The average number of customers waiting1786(c) The average number of customers in the system1.25(d) The average time (in min) a customer spends waiting4.2X min(e) The average time (in min) a customer spends in the systemx min1(f) The probability that arriving customers will have to wait for service73X

The provided information is as follows:The arrival rate is 30 customers per hour or customers per…

Answered: Willow Brook National Bank operates a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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