2018 Jan Question 4 (b) Each Scholastic Aptitude Test (SAT) has a distribution that is approximately symmetrical and can be suitably modelled by the normal distribution with an overall mean of 500 and variance 10,000. Suppose one student X obtained a score of 600 in his SAT test. Analyze where he stands among all students who took the SAT test. Analyze and compute the proportion of SAT scores that falls between 450 and 600. Suppose a particular university says it admits only students with SAT scores among the top 10 %. Analyze the cut off SAT score for the university admission.