Consider the time it takes, in minutes, for police officers to respond to a 911 call, where a life-threatening crime (an armed robbery, an assault, a shooting) is in progress. For a particular policejurisdiction, the average response time is 26 minutes with a standard deviation of 5 minutes.Assuming the data is symmetric and using the Empirical rule, what % of the response times fallbetween 11 to 41 minutes.086 %50 %68 %95 %99.7%none of the above

The population mean The population standard deviation The given data is symmetric.The empirical rule…

Answered: Consider the time it takes, in minutes,…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Expert Solution

Step 1: Given Information:

The population mean $mu equals 26$

The population standard deviation $sigma equals 5$

The given data is symmetric.

The empirical rule states that:

$table attributes columnalign right center left columnspacing 0px end attributes row cell P open parentheses mu minus sigma less than X less than mu plus sigma close parentheses end cell equals cell 68 percent sign end cell end table$
$table attributes columnalign right center left columnspacing 0px end attributes row cell P open parentheses mu minus 2 sigma less than X less than mu plus 2 sigma close parentheses end cell equals cell 95 percent sign end cell end table$
$table attributes columnalign right center left columnspacing 0px end attributes row cell P open parentheses mu minus 3 sigma less than X less than mu plus 3 sigma close parentheses end cell equals cell 99.7 percent sign end cell end table$