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The joint probability distribution of two random variables, and Y, is given in the table below. Y=-4 Y=-3 Y=0 Y=3 X=-4 0.17 0.01 0.11

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The joint probability distribution of two random variables, \\" and Y, is given in the table below. Y=-4 Y=-3 Y=0 Y=3 X=-4 0.17 0.01 0.11 0.00 X=0 0.00 0.05 0.05 0.05 X=3 0.04 0.04 0.16 0.00 X=4 0.07 0.00 0.13 0.12 From the information in the table, calculate each of the following probabilities. Round your answers to two decimal places. (If necessary, consult a list of formulas.) (a) Given that X"= -4, compute the probability that Y=0. (b) Given that X 2: 3, compute the probability that Y S 0. X 5

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