Two fair dice are tossed, and (X,Y) denote the number of spots on the first and...

Two fair dice are tossed, and (X,Y) denote the number of spots on the first and on the second dice. Consider two random variables: U = X + Y and W = | X - Y |.

A). Derive the distribution of U. List all possible values and evaluate their probabilities.

B). Derive the distribution of W. List all possible values and evaluate their probabilities.

C). Determine the conditional probability P[6 <= U <= 7 | W <= 1]

Expert Solution

orchestra answered 1 year ago

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