Free groceries. To attract shoppers, a supermarket runs a weekly contest that involves "scratch-off" cards. With each purchase, customers get a card with a black spot obscuring a message. When the spot is scratched away, most of the cards simply say, "Sorry-please try again." But during the week, 100 customers will get cards that make them eligible for a drawing for free groceries. Ten of the cards say they may be worth $200, 10 others say $100, 20 may be worth $50, and the rest could be worth $20. To register those cards, customers write their names on them and put them in a barrel at the front of the store. At the end of the week the store manager draws cards at random, awarding the lucky customers free groceries in the amount specified on their card. The drawings continue until the store has given away more than $500 of free groceries. Estimate the average number of winners each week. Specify how to model a component outcome using equally likely random digits: 1. Identify the component to be repeated. 2. Explain how you will model the component's outcome. [Use table of random digits.] Specify how to simulate trials: 3. Explain how you will combine the components to model a trial. 4. State clearly what the response variable is. Put it all together to run the simulation: 5. Run trials. [Run 10 starting on line 1 from the table of random digits.] Create a chart to keep track of what happens: Trial Components Response 2 3 Page 1 13 +5 6 7 8 9 10 Analyze the response variable: 6. Create a graphic display of response variable and summarize your results (use SOCS) 7. Conclusion Describe what the simulation shows, and interpret your results in the context of the real world. Don't overstate your case