In problems below, all probabilities must be calculated using a TI83 or TI84 calculator.Be sure to list the calculator function in its entirety as your work for each problem.List the formulas for the mean and standard deviation as your work for those calculations as appropriate.

1.(8 points) At a college bookstore, 28 % of student customers who have to buy a textbook for a course bought a new copy, whereas the remaining 72% preferred a used copy. The bookstore manager selected a random sample of 20 student patrons who purchased a textbook from the bookstore.

Answer the following questions. Include your calculator functions for each probability question and round your answers to 4 digits.

A.What is the probability that exactly 4 students purchased a new textbook?

B. What is the probability that at most 12 students purchased a new textbook?

C. What is the probability that at least 9 students purchased a new textbook?

D. What is the probability that exactly 15 students purchased a used textbook?

E. What is the probability that fewer than 14 students purchased a used textbook?

F. What is the probability that more than 10 students purchased a used textbook?

G. Find the mean and standard deviation of the students who purchased a new textbook. Show your formula setup and your work.