The average price of a college math textbook is $178 and the standard deviation is $30. Suppose that 13 textbooks are randomly chosen. Round all answers to 4 decimal places where possible. a. What is the distribution of T? a ~ N b. For the group of 13, find the probability that the average price is between $186 and $197. c. Find the first 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? O YesO No