SOLUTION: Graduate Management aptitude test scores are widely used by graduate schools of business as an entrance requirement. suppose that in one particular year, the mean score of the GMAT

Question 744332: Graduate Management aptitude test scores are widely used by graduate schools of business as an entrance requirement. suppose that in one particular year, the mean score of the GMAT was 476, with a standard deviation of 107. Assuming that the GMAT scores are normally distributed.
what is the probability that a randomly selected score from this GMAT falls between 476 and 650?
what is the probability of receiving a score greater than 750?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Graduate Management aptitude test scores are widely used by graduate schools of business as an entrance requirement. suppose that in one particular year, the mean score of the GMAT was 476, with a standard deviation of 107. Assuming that the GMAT scores are normally distributed.
what is the probability that a randomly selected score from this GMAT falls between 476 and 650?
z(476) = 0 since 476 is the mean.
z(650) = (650-476)/107 = 1.6262
----
P(476<= x <=650) = P(0<= z <=1.6262) = 0.4480
what is the probability of receiving a score greater than 750?
z(750) = (750-476)/107 = 2.5607
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P(x > 750) = P(z > 2.5607) = 0.0052
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Cheers,
Stan H.
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