WRITE YOUR ANSWERS ON PAPER, SHOW JUSTIFICATION OF ALL YOUR ANSWERS, AND UPLOAD HERE. In a California community college, 43% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. If 10 students are randomly selected, a) find the population mean u of the random variable. b) find the population variance o of the random variable. c) find the probability that fewer than 3 of these students will transfer to a college in the CSU system. d) 200 student are randomly selected from the college and 107 of them transfer to a college in the CSU system. Determine the sample proportion p of these students who transfer to a college in the CSU system. e) Assume that the sample proportion p has a Normal Distribution and that the standard error of the sample proportion is Of= 0.035 Determine the probability that more than half of all community-college students transfer to a college in the CSU system