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 $190,000. 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( 19000( 38000 b. What is the distribution of a? a - N( 19000( c. For a single randomly selected graduate, find the probability that her salary is between $189,783 and $194, 789. d. For a simple random sample of 15 graduates, find the probability that the average salary is between $189,783 and $194, 789. e. For part d), is the assumption of normal necessary? O Yes No > Next