Historically, the pin has been placed in the front right corner of the green, and the historical mean number of strokes for the hole has been 4.25, with a standard deviation of 1.6 strokes. On a particular day during the most recent golf tournament, the organizer placed the hole (pin) in the back left corner of the green. 64 golfers played the hole with the new placement on that day. Determine the probability of the sample average number of strokes exceeding 4.75. 5. Suppose x has a distribution with a mean of 20 and a standard deviation of 3. Random samples of size n = 36 are drawn. a. Is the x distribution normal? b . What is the mean and the standard deviation of the x distribution? c. Find the z score corresponding to x = 19. d. Find P (x