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Asked • 07/04/20

Use the integral capabilities of a computer or calculator to answer the questions belo

How do I plug these into my calculator?

The normal Probability Density Function is given by: Φ(x) =(1/σ √ 2π)e-1/2(x-mu/sigma)^2

SAT math test scores are distributed normally with µ = 528 and σ = 117. The scores range from 0 to 800.


What percentage of SAT math test takers score above the mean?

ii) What percentage of SAT math test takers score between 0 and 800?

iii) What percentage of SAT math test takers score within 1σ of µ? 2σ?

iv) What percentage of SAT math test takers score between 200 and 600?

v) Guess and check to find the cut-off score for the 90th percentile.

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