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In: Statistics and Probability

The Graduate Management Admission Test (GMAT) has scores from 100 to 900. Scores are supposed to...

The Graduate Management Admission Test (GMAT) has scores from 100 to 900.

Scores are supposed to follow a Normal distribution with a mean of 500 and standard deviation of 150.

a. Suppose you earned a 800 on your GMAT test. From that information and the 68-95-99.7 Rule, where do you stand among all students who took the GMAT?

b.Suppose you earned a 450 on your GMAT test. Where do you stand among all students who took the GMAT?

c. Assuming the GMAT scores are nearly normal with N(500, 150), what proportion of GMAT scores falls between 400 and 700?

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