Suppose that a highly selective college desires to admit students based on their performance on an entrance exam. The grades on the exam are normally distributed with a mean of 1,000 and a standard...

Suppose that a highly selective college desires to admit
students based on their performance on an entrance exam.
The grades on the exam are normally distributed with a
mean of 1,000 and a standard deviation of 200. If the college
wants to admit only those whose grades are in the top 1.5%,
what is the minimum grade that an applicant must get on
the exam in order to be admitted?