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 $146,000. Assume the standard deviation is $30,000. Suppose you take a simple random sample of 14 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 a? x - N( c. For a single randomly selected graduate, find the probability that her salary is between $149,773 and $156, 782. d. For a simple random sample of 14 graduates, find the probability that the average salary is between $149,773 and $156,782. e. For part d), is the assumption of normal necessary? NoYes > Next