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 $180,000. Assume the standard deviation is $38,000. Suppose you take a simple random sample of 15 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 ? N c. For a single randomly selected graduate, find the probability that her salary is between $175,483 and $182,289. d. For a simple random sample of 15 graduates, find the probability that the average salary is between $175,483 and $182,289. e. For part d), is the assumption of normal necessary? Yes No