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Entrance exam scores for a group of college students are normally distributed with mean = 500 and standard deviation = 100

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Entrance exam scores for a group of college students are normally distributed with mean = 500 and standard deviation = 100. Show all work the Cumulative Normal Distribution Chart.

a) Student placing in the bottom 3% are not eligible to play sports. What is the cut-off score below which a student is ineligible to play sports?

b)Students placing in the top 15% get scholarships. What is the minimum cutoff score a student must achieve to earn a scholarship?

c) Find the 10th percentile of the data (this is the ,the number which has 10%of the data lying below it)