SAT scores: Assume that in a given year the mean mathematics SAT score was 467 , and the standard deviation was 105. A sample of 59 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 455 ? Round the answer to at least four decimal places. The probability that the sample mean score is less than 455 is