probability that exactly 6 say they are satisfied. b) If 12 students are randomly selected, find the probability that less than half are satisfied. c) If 12 students are randomly selected, find the probability that more than 9 are satisfied. d) If 300 students randomly selected, find the probability that at least 225 are satisfied. e) When 300 students are randomly selected, find the mean and standard deviation for the number who are satisfied. 7) The lengths of pregnancies are normally distributed with a mean of 268 days and standard deviation of 15 days. Let RV X represent the length of a pregnancy. Show work including diagrams. a) Find the probability that the length of a pregnancy is more than 280 days. b) Find the length of pregnancy that represents P15. c) Find P(250

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