SAT scorest Assume that in a glven year the mean mathemetics sAT score was 467, and the standard deviation was 105 : A sample of 59 scores is chosen. U35 the th-et Plus calculator. Part 1 of 5 (o) What is the probability that the eample mean score is less than 455 ? Pound the answor to at lesst four decimal places. The probobility that the sample mean score is less than 455 i Part 2 of 5 (b) What is the probabilit that the sample mean score is between 430 and 470 pound the answer to at least four decimal places. The probability that the sample mean score is between 430 and 470 is Part 3 of 5 . (c) Find the 45th percentile of the sample mean. Round the answer to at least two decimal places. The 45th percentile of the sample mean is Part 4 of 5 (d) Would it bo unusual it the the sample mean were greater than 4992 Round answer to at least four decimal places. 11 be anusual if the the sample mean were greater than 499 , since the probabily is Part 5 of 5 (e) Do you think it would be unusual for an individual to get a score greater than 4997 Explain. Assume the variable is normaly distributed, Round the answer to at leart four decimal places. beceuse the probability that an individual gets a score greater than 499 is.