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Normal Distribution

Name: Anonymous 2006-02-28 19:19

Can somebody help me with this?  A hint or direction is muchly appreciated.


A statistics instructor initally submits final grades that are normally distibuted with a mean of 77%, and a standard deviation of 10%.  However, the Dean of the college insists that the class average must be at least 68% and that the grades should be normally distributed with a standard deviation of 12%. 

a) Assume that you originally got 86% when the instructor intially submitted his final grades.  What will your adjusted grades be?

b) Given that 50% on the adjusted grades is considered a failing grade.  What would the equivalent failing grade be on the intially submitted final grades?

c) What percentage of the class will fail this course after the marks have been adjusted?

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