The average price of a college math textbook is $180 and the standard deviation is $28. Suppose that 43 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of 5;? :3 ~ N([:],[:]) b. For the group of 43, find the probability that the average price is between $175 and $179. [:] c. Find the first quartile for the average textbook price for this sample size. SC] (round to the nearest cent) d. For part b), is the assumption that the distribution is normal necessary? 0 N00 Yes