Question
Asked Sep 15, 2019

Given a set of normally distributed scores with the mean of 20.00 and SD of 5.00, what proportion of scores are 

a) between 10 and 28

b) between 15 and 32

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Expert Answer

Step 1

We are given

μ = 20, σ = 5

a)We have to find P( 10 < x < 28 )

Step 2

We will find it using z value

First we find it for x = 10,

x- 10-20
= -2
Now for x 28
x-u28-20 1.6
5
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x- 10-20 = -2 Now for x 28 x-u28-20 1.6 5

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Step 3

So,P ( 10 < x < 28 ) = P( -2 < z < 1.6 )

                                  = P( z < 1.6 ) – P( z < -2 ) ……… Using ...

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