MATH 302 Midterm: MATH 302 2010 Winter Test 1
Document Summary
An urn contains 5 red balls, 10 green balls and 15 yellow balls. A physician has ve patients with ross"s disease. There are two possible treatments, a and b. The physician gives treatment a to three randomly selected patients, and treatment b to the other two. Suppose that treatment a produces a cure in any given patient with probability. 0. 3, while treatment b produces a cure with probability 0. 6. (a) alice is one of the patients. Each time they play, anne"s net gain is + with probability. 4/35, + with probability 2/7, and with probability 3/5. (a) find the mean and variance of anne"s net gain from playing this game once. mean. , variance (b) let s49 be anne"s net gain from playing the game 49 times. Using chebyshev"s inequality we can say that, for certain integers a and b, p (s49 a or s49 b) 1/4. What are the maximum possible a and minimum possible b? a =
