![]() ![]() The formula for geometric sum may be useful.)ī) What are the probabilities of the exit sequences AB, BA, and CB? What are the probabilities for each of A, B, and C to be the first to exit the game? (Hint: Think carefully about what can happen at each step for A to find the probability A exits first, then consider B and C in turn. That player then drops out of the game, and the others continue until one of them rolls a six, at which point the game ends. This continues until one of the players rolls a six. Question 2 Three players, A, B, and C, take turns tossing a fair six-sided die in the following sequence: ABC ABC ABC. Say what comparisons you would make at the end of the experiment. Name at least two possible confounding variables for this experiment. Your answer should include a schematic diagram or flow chart. Comment on the elements of control, randomization, and replication in your design. What are the explanatory and response variables in this study? Design a completely randomized experiment for this study, in which each volunteer completes the test once only. ![]() Thirty volunteers are available for the study. ![]() SOLVED: Question The famous Hungarian mathematician Alfred Renyi once declared: "A mathematician's device for turning coffee into theorems." A researcher wants to test whether drinking coffee affects the scores graduate students achieve in a test of mathematical ability performed an hour later. ![]()
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