) Find the probability of 1 person getting above 78 points.  2) Find the probability of 12 people getting above 78 points.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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You are using a sampling distribution of percentages of math scores that are normally distributed population with a μ= 82 points and σ=4 points. Calculate the following two parts. 

1) Find the probability of 1 person getting above 78 points. 

2) Find the probability of 12 people getting above 78 points. 

Round to 3 decimal places

Expert Solution
Step 1

Given: 

Statistics homework question answer, step 1, image 1

Calculate the corresponding Z score as follows:

Statistics homework question answer, step 1, image 2

The probability of 1 person getting above 78 points can be calculated as:

Statistics homework question answer, step 1, image 3

By using the standard normal table,

Statistics homework question answer, step 1, image 4Statistics homework question answer, step 1, image 5

Hence, the probability of 1 person getting above 78 points is,

0.842

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