Compute the values ​​a and b such that the fit of type aX+b gives the desired mean and variance? Calculate:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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The average score on a statistics test was 2.19 with a standard deviation of 0.83. The teacher suspects that the exam was very difficult; Based on the above, you want to adjust the scores so that the mean is 4.19 and the standard deviation is 0.15. Compute the values ​​a and b such that the fit of type aX+b gives the desired mean and variance?

Calculate:

a= ?

b= ?

TIP: Use expected value and variance properties.

Note: Answer with at least 4 decimal places

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