Question: 1. Two fair dice are rolled. Let X be the value on the first die and Y be the larger of the two values. (a)

1. Two fair dice are rolled. Let X be the value on the first die and Y be the larger of the two values. (a) Find the probabilities for all values of (X, Y). (b) Find px(x) and py(y). (c) Find P( X = Y). (d) Find the marginal c.d.f of X and Y. (e) Find P( max( X, Y) 2 4). (f) Find pxy(xly) and pyx(ylx)

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