1. 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 $170,000. Assume the standard deviation is $44,000. Suppose you take a simple random sample of 46 graduates.Round all answers to four decimal places if necessary. What is the distribution ofX

A. What is the distribution ofX?X~ N ( , )

B. What is the distribution ofx ? x ~ N ( , )

C. For a single randomly selected graduate, find the probability that her salary is between $170,769 and $179,813.

D. For a simple random sample of 46 graduates, find the probability that the average salary is between $170,769 and $179,813.

E. For part d), is the assumption of normal necessary?NoYes