SAT scores: Assume that in a given year the mean mathematics SAT score was 324, and the standard deviation was 117. A sample of 68 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than $12? Round the answer to at least four decimal places. The probability that the sample mean score is less than 512 is Part 2 of 5 (b) What is the probability that the sample mean score is between 485 and 5297 Round the answer to at least four decimal places. The probability that the sample mean score is between 485 and 529 is Part 3 of 5 (c) Find the 10" percentile of the sample mean. Round the answer to at least two decimal places. The 10" percentile of the sample mean is Part 4 of 5 (d) Would it be unusual if the the sample mean were greater than 5297 Round answer to at least four decimal places. It (Choose one) V be unusual if the the sample mean were greater than 529, since the probability is Part 5 of 5 (e) Do you think it would be unusual for an individual to get a score greater than 5297 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 529 is