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Mathematics, 16.03.2020 16:02 kevinsosdik

Let X and Y be the number of hardware failures in two computer labs in a given month. The joint distribution of X and Y is given in the table below. x P(x, y) 0 1 2 0 0.52 0.20 0.04 y 1 0.14 0.02 0.01 2 0.06 0.01 0 (a) Compute the probability of at least one hardware failure. (b) From the given distribution, are X and Y independent? Why or why not?

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