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Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 0.5 minutes an standard deviation of 1.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 11 customers in the first line and m2 = 19 customers in the second line. Find the probability that th difference between the mean service time for the shorter line X, and the mean service time for the longer one X₂ is more than 0.2 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i

Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 0.5 minutes an standard deviation of 1.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 11 customers in the first line and m2 = 19 customers in the second line. Find the probability that th difference between the mean service time for the shorter line X, and the mean service time for the longer one X₂ is more than 0.2 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 0.5 minutes and standard deviation of 1.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 11 customers in the first line and ₂ = 19 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X, and the mean service time for the longer one X₂ is more than 0.2 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
Transcribed Image Text:Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 0.5 minutes and standard deviation of 1.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 11 customers in the first line and ₂ = 19 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X, and the mean service time for the longer one X₂ is more than 0.2 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
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