The average price of a college math textbook is $178 and the standard deviation is $20. Suppose that 48 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of ? I ~ N( b. For the group of 48, find the probability that the average price is between $181 and $182. c. Find the third quartile for the average textbook price for this sample size. S (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? ( YesO No