At State University, the average score of the entering classon the verbal portio

Question

At State University, the average score of the entering classon the verbal portion of the SAT is 565, with standard deviation of75.Marian scored a 660. How many of State's other 4250 freshmen didbetter?Assume that the scores are normally distributed. (*The answer is 434, how can I get this answer?) At State University, the average score of the entering classon the verbal portion of the SAT is 565, with standard deviation of75.Marian scored a 660. How many of State's other 4250 freshmen didbetter?Assume that the scores are normally distributed. (*The answer is 434, how can I get this answer?)

Explanation / Answer

The population has = 565 and = 75 Convert Marian's score X = 660 to a z-score z = (X-)/ = (660 - 565)/75 = 1.27 standard deviationsabove the mean. P(X

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