Answered: t the main campus of a large state…

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

The physical plant at the main campus of a large state university recieves daily requests to fix small and medium-sized machinery and equipment. The number of daily maintenance requests recieved is bell-shaped with a mean of 28 and a standard deviation of 3. Use the Empirical Rule to determine the approximate percentage of daily maintenance requests recieved between 19 and 28?

Expert Solution

Step 1

According to the empirical rule, for a normal distribution, 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.

For this case,

19=μ+ k *σ

19= 28+k*3

k=-3

It can be seen that the value 19 is three standard deviations below the mean, while 28 is the mean value.

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