The average price of a college math textbook is $153 and the standard deviation is $28. Suppose that 50 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

1. What is the distribution ofX?X~ N(,)
2. For the group of 50, find the probability that the average price is between $148 and $154.
3. Find the first quartile for the average textbook price for this sample size. $(round to the nearest cent)
4. For part b), is the assumption that the distribution is normal necessary?No Yes