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Two unfair dice are rolled independently. The rst has 0:5 probability of landing on a 6, with equal probability for the other faces. The second

Two unfair dice are rolled independently. The rst has 0:5 probability of landing on a 6, with equal probability for the other faces. The second has 0:1 probability of landing on a 1, with equal probability for the other faces. Let X be the sum of the numbers appearing on the two dice, and let Y be the product. Compute the following, leaving your answer as a single decimal number:

(a) E(X)

(b) E(Y )

(c) V (X)

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