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A paticle starts at (0,0) and moves in one-unit independed steps with equal probabilites 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, Definde the joint pmf of S and T with n = 3. On a 2D graph, give the probabilities of the joint pmf and the marginal pmfs

b. Let X = S + 3 and Y = T + 3. How are X and Y distributed?

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  • Category:- Statistics and Probability
  • Reference No.:- M91000127

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