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I want answer with explanation... I'll upvote you... Three fair six sides dice are rolled and their values are denoted by the random variables X1,

I want answer with explanation...

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Three fair six sides dice are rolled and their values are denoted by the random variables X1, X2 and X3.We define Y1 = X1+X2 and Y2 = X2+X3. Notice that Y1 and Y2 are dependent random variables as both have X2 as a contributor. Compute:

a) P(X1 > 4 X2 > 3) [2]

b) P(Y2 > 6|X1 = 1) [3]

c) P(Y1 > 7|X1 = 5) [3]

d) P(Y1 > 8|Y2 = 11) [6]

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