SKITTLES RAW DATA (you may need to add some rows) BAG # GREEN ORANGE PURPLE RED YELLOW TOTAL 1 (yours) 10 11 10 12 52 2 12 7 10 14 15 3 13 12 11 17 59 4 12 10 11 16 57 16 9 10 12 10 57 6 16 6 17 13 6 58 11 11 11 12 11 56 8 13 8 9 13 14 57 9 16 10 11 13 12 62 10 15 15 13 13 59 11 8 10 14 13 14 59 12 12 12 12 7 14 57 13 8 10 15 15 6 54 14 13 6 14 19 8 60 15 18 5 16 12 8 59 16 13 8 10 16 10 57 17 13 11 9 14 18 11 9 13 15 10 58 19 11 12 11 8 10 52 20 14 11 16 10 8 59 21 11 12 11 8 10 52 22 13 9 10 13 14 59 23 15 9 12 13 56 24 8 11 13 13 54 13 12 12 11 9 58 16 13 15 11 16 15 11 61 13 10 10 12 10 58 23 59 10 14 91 12 57 PART II (4-7) 1. Use the class proportions for each color as the standard proportions for all Skittles for this question. You and a friend play a game. You buy a bag of Skittles and start taking one candy out of the bag at a time. If a red candy is drawn, you give your friend $4. If a different color is drawn, your friend gives you $1. What is YOUR expected value for this game? Assuming a bag usually contains 55 candies. How much would you expect to win or lose when the bag is empty? 2. Assume 20 candies are drawn from the class sample. a. What is the probability at most 5 are purple? b. What is the probability between 4 and 8 (inclusively) are red? 3. For this problem, assume the number of Skittles in each bag is UNIFORMLY distributed with a minimum count of 52 and a maximum count of 63. a. Draw a picture of the distribution of Skittles per bag. b. What is the probability that a randomly selected bag of Skittles contains more than 60 Skittles