The average price of a college math textbook is $151 and the standard deviation is $24. Suppose that 40 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

What is the distribution of
X? X ~ N( , )

For the group of 40, find the probability that the average price is between $152 and $155.

Find the third quartile for the average textbook price for this sample size. $
(round to the nearest cent)

For part b), is the assumption that the distribution is normal necessary? YesNo