A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4. You choose a random score from the data set and the probability of getting a score less than or equal to this is 0.0078. What was the test score you randomly chose?

A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4. You choose a random score from the data set and the probability of getting a score less than or equal to this is 0.0078. What was the test score you randomly chose?

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

A set of exam scores is normally distributed and has a mean of 79.3 and a standard deviation of 7.4. You choose a random score from the data set and the probability of getting a score less than or equal to this is 0.0078.

What was the test score you randomly chose?

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Expert Solution

Step 1

$G i v e n d a t a n o r m a l d i s t r i b u t i o n μ = 79.3 σ = 7.4 c h o o s e a r a n d o m s c o r e l e s s t h a n o r e q u a l t o t h i s 0.0078 w e h a v e t o f i n d o u t t h e t e s t s c o r e y o u r a n d o m l y s c o r e$

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