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Most graduate schools of business require applicants for admission to take the Graduate Management Admission Council’s GMAT examination. Scores on the GMAT are roughly normally distributed with a mean of 527 and a standard deviation of 112. What is the probability of an individual scoring above 500 on the GMAT?
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Alan Stevens
am 27 Jul. 2020
The following calculates the normal cumulative distribution function for mean 0 and stadard deviation 1:
CDF = (1/2)*(1+erf(x/sqrt(2)));
Calculate your value of x as a number of standard deviations from the mean :
x = (500 - 527)/112;
then use this to find the corresponding value of CDF.
Since the question asks for the probability of being above this value, subtract the result from 1.
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