Question 5 Score on last try: 0.43 of 1 pts. See Details for more. > Next question Get a similar question You can retry this question below 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 $174,000. Assume the standard deviation is $42,000. 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( 174000 42000 b. What is the distribution of ? @ - N( 174000 of c. For a single randomly selected graduate, find the probability that her salary is between $165,863 and $178,875. d. For a simple random sample of 14 graduates, find the probability that the average salary is between $165,863 and $178,875. e. For part d), is the assumption of normal necessary? ( Yes( No Question Help: Message instructor Submit Question W SAMSUNG F6 2 0 3 1/ 4 5 5% 6 A 7 & 8 X O ) TAB Q W T CAPS A S D F G H K