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college stats

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can someone please explain the steps:

suppose that the grade point average,denoted by X,of a university student is Normally distributed with the mean 2.786 and standard deviation 0.375

A). a student is on the deans list if her GPA exceeds 3.746. What percent of the students are on the dean's list? P(X>3.746 GPA)

B). a student is on probation if his GPA falls below 1.946. what percent of the students are on probation?

  • college stats - ,

    Z = (score-mean)/SD

    Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions related to the Z scores. Multiply by 100 to convert to percent.

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