1 . (12 marks) It is estimated that 65% of freshmen entering a particular major will graduate from that major in 4 years. L. F'or a random sample of 5 freshmen, what is the probability that exactly 3 will graduate in 4 years with the entering major? b. For a random sample of 5 freshmen, what is the probability that more than 3 will graduate in 4 years? C. If 99 freshmen are chosen at random, find the mean and standard deviation of the numbers of these 99 freshmen who will graduate in 4 years with the entering major. 2. (6 marks) Assume that the time each student spend in the canteen during lunch time (noon . 2pm) is normally distributed with a standard deviation o = 6. Assume that a sample of 16 students had a mean time of 25 mins. a. At 95% confidence, what is the margin of error? b. What is the 95% confidence interval estimate of the mean