High School

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.

1. What is the probability of an individual scoring above 500 on the GMAT?

2. How high must an individual score on the GMAT in order to be in the highest 5%?

Answer :

The probability of an individual scoring above 500 on the GMAT is 0.5984.

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Given:

[tex]\mu[/tex] = 527

[tex]\sigma[/tex] = 112

Now, z= (500-527)/112

z= -27/112

z= -0.2410

and, P( X>500)= P(z> -0.2401)

= 1- 0.4052

= 0.5984

Hence, the probability of an individual scoring above 500 on the GMAT is 0.5984.

Learn more about Normal Distribution here:

https://brainly.com/question/29509087

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