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4.1-7.)A particle starts at (0, 0) and moves in one-unit dependent steps with equal probabilities of 1/4 in each of the four directions: north, south, east, and west. Let S equal the east-west position and T the north-south position after n steps. (a) Define the joint pmf of S and T with n = 3. On a two-dimensional graph, give the probabilities of the joint pmf and the marginal pmfs (similar to Figure (b) What are the marginal distributions of X and Y?
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