MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Estimation
A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.
Question

A manufacturer knows that their items have a normally distributed length, with a mean of 17 inches, and standard deviation of 5.4 inches.

If one item is chosen at random, what is the probability that it is less than 4.8 inches long?

Expert Solution
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Step 1

Let X be the length of the item.

We have, μ=17, σ=5.4 

We want to find out P(X<4.8)

when X=4.8,

Z=X-μσ, By applying theappropriate valuesZ=4.8-175.4  =-2.2592

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