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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)
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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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? f. What is the probability that exactly two customers arrive in the two-hour period of time between a 2:00 P.M. and 4:00 P.M. (one continuous two-hour period)?
Transcribed Image Text: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? f. What is the probability that exactly two customers arrive in the two-hour period of time 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?
Transcribed Image Text: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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