4. Customers arrive at a bank teller's drive-through window in accordance with a Poisson process, with a meanrate of 1.2 persons per minute.(a) What is the probability of zero arrivals in one minute?(b) What is the probability of zero arrivals in two minutes?(c) What is the probability of zero arrivals in the next one minute given there is no arrival in the previous minute?(d) What is the distribution of the interarrival times?(e) What is the probability that the interarrival time is between 2 and 3 minutes?

The provided information is as follows:The mean is persons per minute.The process is a Poisson…

Answered: Customers arrive at a bank teller's…

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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Willow Brook National 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, with an arrival rate of 48 customers per hour or 0.8 customers per minute. Assume the Poisson probability distribution can be used to describe the arrival process. (a) What is the mean or expected number of customers that will arrive in a five-minute period? (b) Use the arrival rate in part (a) and compute the probabilities that exactly 0, 1, 2, and 3 customers will arrive during a five-minute period. (Round your answers to four decimal places.) X 0 1 2 3 P(x) (c) Delays are expected if more than three customers arrive during any five-minute period. What is the probability that delays will occur? (Round your answer to four decimal places.)
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