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P 5. In a game of chance, one trial consists in two independent four faced dice being rolled and marking a W (win) if the

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P 5. In a game of chance, one trial consists in two independent four faced dice being rolled and marking a W (win) if the second roll is strictly larger than the first. The trials are assumed independent. In all cases a), b), c), determine the name of the distribution of X, its pmf, mean and variance a) X is the number of W when we play 5 times. Calculate P(X = 2). b) X is the number of times we play until we get the first W. Cal- culate P(X > 3). ) X is the number of of times we play until we obtain the third W. Calculate P(X > 5)

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