SAT scores: Assume that in a given year the mean mathematics SAT score was $50, and the standard deviation was 124. A sample of 69 scores is chosen. Use Excel. Part 1 of 5 (a) What is the probability that the sample mean score is less than 533? Round the answer to at least four decimal places. The probability that the sample mean score is less than 533 is |0.1274 . X 5 Part 2 of 5 (b) What is the probability that the sample mean score is between 525 and 553? Round the answer to at least four decimal places. The probability that the sample mean score is between 525 and 553 is]. X 5 Part 3 of 5 (c) Find the 55" percentile of the sample mean. Round the answer to at least two decimal places. The 55" percentile of the sample mean is. X 5 Part 4 of 5 (d) Would it be unusual if the sample mean were greater than 573? Round the answer to at least four decimal places. It (Choose one) | be unusual if the sample mean were greater than 573, since the probability is. X Part: 4 / 5 Part 5 of 5 (e) Do you think it would be unusual for an individual to get a score greater than $73? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places. (Choose one) v , because the probability that an individual gets a score greater than 573 is. X 5