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We are given a set X = {x1, .... xn} where xi = 2i. A sample S ⊆ X is drawn by selecting each xi independently with probability p1 = 1/2. The expected value of the smallest number in sample S is:

A

1/n

B

2

C

sqrt(n)

D

n

asked in Probability by gate

1 Answer

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E = (1/(2^1))*(2^1) + (1/(2^2))*(2^2) + … (1/(2^n))*(2^n) = 1+1+…1 (n times addition of 1) = n
answered by gate

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