Scores for a common standardized college aptitude test are normally distributed with a mean of 498 and a standard deviation of 114. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the test has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 559.2. P(X > 559.2) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. If 5 of the men are randomly selected, find the probability that their mean score is at least 559.2. P(M > 559.2) = Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.