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What proportion of teams raised more than $347?

What proportion of teams raised more than $347?

MATLAB: An Introduction with Applications
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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The amount of money raised by Clayton State teams for the Statistics Games is normally distributed, with a mean of $360 and a standard deviation of $15. What proportion of teams raised more than $347? Round your z-score to 2 decimal places before finding the proportion. Give your answer to 4 decimal places. Always give proportions from the normal distribution to 4 decimal places.    
Expert Solution
Step 1

Let X denote amount of money raised by Clayton State teams for the Statistics Games. Given that X follows N(mean = 360, SD = 15), then

Z = (X - mean)/SD follows N(0, 1)

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