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2. Three fair six sides dice are rolled and their values are denoted by the random variables X1, X2 and X3.We define Y =

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2. Three fair six sides dice are rolled and their values are denoted by the random variables X1, X2 and X3.We define Y = X+X2 and Y2 = X2+ X3. Notice that Y and Y2 are dependent random variables as both have X2 as a contributor. Compute: a P(X1 >40X2 >3) [2] b P(Y26|X = 1) [3] c P(Y > 7|X = 5) [3] d P(Y18|2 = 11) [6]

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