SAT scores: Assume that in a given year the mean mathematics SAT score was 524, and the standard deviation was 118. A sample of 66 scores is chosen. Use Excel. Part 1 of 5 (a) What is the probability that the sample mean score is less than 509? Round the answer to at least four decimal places. The probability that the sample mean score is less than 509 is |0.6332 X Part 2 of 5 (b) What is the probability that the sample mean score is between 481 and 529? Round the answer to at least four decimal places. The probability that the sample mean score is between 481 and 529 is |0.6331 X 5 Part 3 of 5 (c) Find the 60" percentile of the sample mean. Round the answer to at least two decimal places. The 60 percentile of the sample mean is |557.50 X Part: 3 / 5 Part 4 of 5 (d) Would it be unusual if the sample mean were greater than 529? Round the answer to at least four decimal places. It (Choose one) |be unusual if the sample mean were greater than 529, since the probability is. X would