Entry 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 110. Alton wants to be admitted to this...

Entry 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 110. Alton wants to be admitted to this university and he knows that he must score better than at least 75% (better than the 75th percentile) of the students who took the test.

What score is required for the 75th percentile?    (Round to one decimal)

Alton takes the test and scores 585. Will he be admitted to this university?