Question: 4. An item is selected randomly from a collection labeled 1,2,..., n. Denote its label by X. Now select an integer Y uniformly at

4. An item is selected randomly from a collection labeled 1,2,..., n.

4. An item is selected randomly from a collection labeled 1,2,..., n. Denote its label by X. Now select an integer Y uniformly at random from {1,..., X}. Find: a) E(Y); b) E(Y); c) SD(Y); d) P(X + Y = 2).

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