<prompt> In order to make an entry to a certain university, it is required to pass a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Aswin wants to be admitted to this university and he knows that he must score better than at least 70 of the students who took the test. Aswin takes the test and scores 585. Will he be admitted to this university?Yes because he scored better than 70 of the studentsYes because he scored better than 80 of the studentsNo because he scored lower than 60 of the studentsNo because he scored lower than 50 of the students  <response>: For X 585, Z 585 500 100 0.85 The proportion P of students who scored below 585 is given byP 0.8023 80.23 Aswin scored better than 80.23 of the students who took the test and he will be admitted to this university. 