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?

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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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
Transcribed Image Text: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 = (x-μ)σ

 

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