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professor elderman has given the same multiple choice final exam in his principles of microeconomics class for many years. after examining his records from the past 10 years, he finds that the scores have a mean of 76 and a standard deviation of 12. what is the probability professor elderman's class of 36 has a class average below 78

Respuesta :

The probability Professor elderman's class of 36 has a class average below 78 is 0.9987.

Given that;

In his principles of microeconomics subject, Professor Elderman has utilized the same multiple-choice final exam for many years. He looks over the last ten years' worth of statistics and discovers that the scores have a mean of 76 and a standard deviation of 12.

µ = 76 , σ = 12 , n = 36

Using Normal Distribution;

For x = 70

z = (x - µ) / (σ/√n) = (70-76)/(12/√36) = -3.00

P( average greater than 70 ) = P(X>70)

                                               = 1 - P(X<70)

                                               = 1 - P(Z<-3.00)

                                               = 1 - 0.0013

                                               = 0.9987

The probability Professor elderman's class of 36 has a class average below 78 is 0.9987.

To learn more about probability click here:

brainly.com/question/11234923

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