Probability & Stats - Normal Distribution

Statistics
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The scores on a particular test are normally distributed with mean of 73 and standard deviation 5.  What score would a student need to be among the top 10% of all test scores?

Mar 2nd, 2015


The scores on a particular test are normally distributed with mean of 73 and standard deviation 5. What score would a student need to be among the top 10% of all test scores?

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Find the z-score with a right tail of 10%

invNorm(0.9) = 1.2816

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Find the correspondiing score value

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x = z*s + u

x = 1.2816*5 + 73 = 79.4

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Ans: score >= 79.4

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Mar 2nd, 2015

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