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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.
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