Exercise 5.8.6 According to a study by Dr. John McDougall of his live-in weight loss program at St. Helena Hospital, the people who follow his program lose between 6 and 15 pounds a month until they approach trim body weight. Let's suppose that the weight loss is uniformly distributed. We are interested in the weight loss of a randomly selected individual following the program for one month. (Source: The McDougall Program for Maximum Weight Loss by John A. McDougall, M.D.) a. Define the random variable. X = b. X~ c. Graph the probability distribution. d. f (x) = e. = f. = g. Find the probability that the individual lost more than 10 pounds in a month. h. Suppose it is known that the individual lost more than 10 pounds in a month. Find the probability that he lost less than 12 pounds in the month. i. P (7 < x < 13 | x > 9) = __________. State this in a probability question (similar to g and h), draw the picture, and find the probability