Admission to a certain university is determined by a national test. the scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. tom 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. tom takes the test and scores 585.admission to a certain university is determined by a national test. the scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. tom 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. tom takes the test and scores 585. score that guarantees admission on average? will he be admitted to this university?