Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $129,000. Assume the standard deviation is $45,000. Suppose you take a simple random sample of 38 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X ~ N( b. What is the distribution of T? & ~ N( C. For a single randomly selected graduate, find the probability that her salary is between $118, 450 and $124,800. d. For a simple random sample of 38 graduates, find the probability that the average salary is between $118,450 and $124,800. e. For part d), is the assumption of normal necessary? O YesO No