At the end of the spring semester, the Dean of Students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year. The average was gain of µ= 9pounds with standard deviation of o= 6. The distribution of scores was approximately normal. A sample of n = 4 students is selected and the average weight change is computed for the sample. a. What is the probability that the sample mean will be greater that M = 10 pounds? In symbols, what is p(M >10)? b. Of all of the possible samples , what proportion will show an average weight loss? In symbols what is p(M< 0)? c. What is the probability that the sample mean will be a gain of between M= 9 and M= 12 pounds ? In symbols, what is p(9 < M < 12)?