Based upon extensive data from a national high school educational testing program, the mean score of national test scores for mathematics was found to be

605

and the standard deviation of national test scores for mathematics was found to be

105

points. What is the probability that a random sample of

225

students will have a mean score of more than

620?

Less than

586?

The probability that a random sample of

225

students will have a mean score of more than

620

is

enter your response here.

(Round to four decimal places as needed.)