At a local community college, 60% of students who enter the college as freshmen go on to graduate. Ten freshmen are randomly selected. a. What is the probability that none of them graduates from the local college? Show your work. b. What is the probability that three of them graduates from the local college? Show your work. c. Use the Excel function "=binom.dist to get the printout of the binomial probability distribution with n = 10 and p = 0.6. Using this printout to find the probability at most nine will graduate from the local college. For the use of Excel, see page 66 of the course packet and Appendix 5.2 on page 270 of your textbook. d. What is the expected number that will graduate? What are the variance and the standard deviation