Answered: scores larger than 15 is 6 percent. a)…

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

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

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

$μ = 10 a n d σ i s u n k n o w n .$

We have to find the s.d. first.

We know, X $~ N (10, σ^{2})$

So, Z= $\frac{X - 10}{σ} ~ N (0, 1)$

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