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

On a normal distribution with mean value 10 and a particular standard deviation (that is not given), the probability to find scores larger than 15 is 6 percent.

a) What is the probability to find scores that are larger than 15 or smaller than 5? Explain you answer

b) What is the probability to find scores smaller than 5? Explain your answer

Hint: In order to find the solutions, you may sketch the distribution on a piece of paper.

Expert Solution
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Step 1

According to the sum, On a normal distribution with mean value 10 and a particular standard deviation, the probability to find scores larger than 15 is 6 percent.

So, P(X>15)=0.06

μ=10 and σ is unknown.

We have to find the s.d. first.

We know, X~N(10,σ2)

So, Z=X-10σ~N(0,1)

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