We are given a set X = {x_1, ..., x_n}, where x_i = 2^i. A sample S ⊆ X is…

GATE · 2006 · CS

We are given a set X = {x_1, ..., x_n}, where x_i = 2^i. A sample S ⊆ X is drawn by selecting each x_i independently with probability p_i = 1/2. The expected value of the smallest number in sample S is:

  1. A.

    1/n

  2. B.

    2

  3. C.

    sqrt(n)

  4. D.

    n

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