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1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. 41, = 41 customers in the first line and Suppose there are two counters in a store, n₁ = n₁ n₂=51 customers in the second line. Find the probability that the difference between and the mean service time for the longer the mean service time for the shorter line X2 is more one 2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.

1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. 41, = 41 customers in the first line and Suppose there are two counters in a store, n₁ = n₁ n₂=51 customers in the second line. Find the probability that the difference between and the mean service time for the longer the mean service time for the shorter line X2 is more one 2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 41, customers in the first line and m₂ = 51 customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer X₂ one ¹2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.
Transcribed Image Text:1. Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 10.0 minutes and standard deviation of 4.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 41, customers in the first line and m₂ = 51 customers in the second line. Find the probability that the difference between the mean service time for the shorter line and the mean service time for the longer X₂ one ¹2 is more than 0.4 minutes. Assume that the service times for each customer can be regarded as independent random variables.
Expert Solution
Step 1: Given information

Given that,

The customers in the first line are n subscript 1 equals 41

The customers in the second line are n subscript 2 equals 51

The distribution of service time is close to the normal distribution

The mean service time for both lines is mu subscript 1 equals mu subscript 2 equals 10.0 minutes

The standard deviation for both lines is sigma subscript 1 equals sigma subscript 2 equals 4.0 minutes.

Service times for each customer is an independent random variable.

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