Scores for a common standardized college aptitude test are normally distributed with a mean of 485 and a standard deviation of 97. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect.
If 11 of the men are randomly selected, find the probability that their mean score is at least 531.8.
P(M > 531.8) =
Enter your answer as a number accurate to 4 decimal places.