Plz all will rate 3. Customers arrive at a checkout counter in a department store according to a Poissondistribution at an average of seven per hour.a. During a given hour, what is the probability that no more than three customers arrive?b. During a given hour, what is the probability that at least two customers arrive?c. During a given hour, what is the probability that exactly five customers arrive?f. What is the probability that exactly two customers arrive in the two-hour period oftime between a 2:00 P.M. and 4:00 P.M. (one continuous two-hour period)? d. If it takes approximately ten minutes to serve each customer, find the mean and vari-ance of the total service time for customers arriving during a 1-hour period.e. Using part [d.], is it likely that the total service time will exceed 2.5 hours?

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3. Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per hour. a. During a given hour, what is the probability that no more than three customers arrive? b. During a given hour, what is the probability that at least two customers arrive? c. During a given hour, what is the probability that exactly five customers arrive?

3. Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of seven per hour. a. During a given hour, what is the probability that no more than three customers arrive? b. During a given hour, what is the probability that at least two customers arrive? c. During a given hour, what is the probability that exactly five customers arrive?

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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