Business Weekly conducted a survey of graduates from 30 top MBA programs. [in the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $120,000. Assume the standard deviation is $44,000. Suppose you take a simple random sample of 10 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X ~ N{| || |] _. II c. For a single randomly selected graduate, find the probability that her salary is between $119,329 and $129,586. | | d. For a simple random sample of 10 graduates, find the probability that the average salary is between $119,329 and $129,506. I I b. 1Ii'Ii'hat is the distribution of E? {E .. Nil e. For part d}, is the assumption of normal necessary? Q YesC' No