Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of eight per hour. If it takes approximately ten minutes to serve each customer, find the mean and variance of the total service time in minutes for customers arriving during a 1-hour period. (Assume that a sufficient number of servers are available so that no customer must wait for service.) min = min Is it likely that the total service time will exceed 3.0 hours? (Round your answer to three decimal places.) Since P(service time exceeds 3.0 hours) = | this is -Select- v event.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of eight per hour.
If it takes approximately ten minutes to serve each customer, find the mean and variance of the total service time in minutes for customers arriving during a 1-hour period. (Assume that a sufficient number of servers are available so that no customer must wait for service.)
min
min
Is it likely that the total service time will exceed 3.0 hours? (Round your answer to three decimal places.)
Since P(service time exceeds 3.0 hours) =
,this is --Select- v event.
Transcribed Image Text:Customers arrive at a checkout counter in a department store according to a Poisson distribution at an average of eight per hour. If it takes approximately ten minutes to serve each customer, find the mean and variance of the total service time in minutes for customers arriving during a 1-hour period. (Assume that a sufficient number of servers are available so that no customer must wait for service.) min min Is it likely that the total service time will exceed 3.0 hours? (Round your answer to three decimal places.) Since P(service time exceeds 3.0 hours) = ,this is --Select- v event.
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