A company claims that the time their customers spend waiting in line for service is normally distributed with a mean of 21.4 minutes and a standard deviation of 7.2 minutes. What proportion of customers receive service in less than 13 minutes?

A company claims that the time their customers spend waiting in line for service is normally distributed with a mean of 21.4 minutes and a standard deviation of 7.2 minutes. What proportion of customers receive service in less than 13 minutes?

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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Question

A company claims that the time their customers spend waiting in line for service is normally
distributed with a mean of 21.4 minutes and a standard deviation of 7.2 minutes.
What proportion of customers receive service in less than 13 minutes?
0.1210
0.6210
O 0.4520
0.3790
O 0.8790

Expert Solution

Step 1- Writing given data

Given that

The company claims that the time their customers spend waiting in line for service normally distributed.

Mean ( $μ$ ) = 21.4 minutes

Standard deviation ( $σ$ ) = 7.2 minutes

We know that

Z = $\frac{(x - μ)}{σ}$

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