) P(Z 2-9) 13 points My All applicants at a large university are required to tak
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) P(Z 2-9) 13 points My All applicants at a large university are required to take a special entrance exam before they are admitted are known to be normally distributed with a mean of 600 and a standard deviation of 70. Applicants must score 530 or more on the exam before they are admitted . The exam scores (a) What proportion of all applicants taking the exam is granted admission? 0 places Round your answer to four decima (b) what propertion of all applicants will score 740 or higher on the exam? (Round your answer to four decimal places.) (c) For the coming academic year, 2400 appicants have registered to take the exam. How many do we expect to be qualified for admission to the university? (Round your ansvwer to the nearest whole number.) applicants O Type here to search 2 5Explanation / Answer
a)P(X>530)=P(Z>(530-600)/70)=P(Z>-1)=0.8413
b)
P(X>740)=P(Z>(740-600)/70)=P(Z>2)=0.0228
c)
expected to be qualified=np=2400*0.8413=2019.12 ~2019
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