Duck Season or Rabbit Season? AP Stats 5.1 Day 1 You will be able to provide one or more of these skills for your group today: Planning Simulations Using Basic Probability Rules Probability Problems Sample Space Randomness Stick-with-it-ness 4-Step Plan Knowledge of Carnival Games Roles: Captain: Read task card steps carefully, Make sure everyone does each question together RR: Make sure all data gets recorded, Prepare Final Product Facilitator: Watch the time, Keep the group moving, Record Team Results on Class Plot RM: Team Questions, Make sure everyone has supplies, Return dice, task cards, final product and extra dots to instructor Duck Season or Rabbit Season? AP Stats 5.1 Day 1 Supplies NSpire Calculator, Paper, Pencil, 10 Sided Dice, tablet optional Task – The Duck Hunters The Scenario There are 10 fraternity brothers at a shooting gallery at the State Fair. Each brother is a perfect shot, meaning that they never miss the target they are aiming at. Ten cardboard ducks appear simultaneously, and each shooter picks one of the ten ducks at random, takes one shot, and hits his target. a) Design and carry out a simulation to estimate the number of ducks hit. Use the four step process: State, Plan, Do, Conclude Run 50 Trials b) From your simulation results, estimate the average number of ducks that are hit. c) From your simulation, find the probability that more than half of the ducks get hit. d) Suppose that 10 more perfect shooters join the fun so that there are 20 shooters. What do you think will happen to the values you estimated in parts b and c? Design a simulation that would give you the results of having 20 shooters. Final Product o Facilitator will add your team results to the Giant Class Duck Hunt Dot Plot. Assign each dot a value of 5!! o As a group, organize your final results from b & c on a sheet of paper. Please summarize, do not create another dot plot by hand!! Once the entire class has added their values to the Giant Dot Plot, recalculate parts b & c above. Add two comments that compare the class results with your team results…turn paper in to instructor.
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