Probability

Question

We are given a set $X = \left \{x_1, x_2, \ldots , x_n \right \}$ where $x_i = 2i$. A sample $S$ (which is a subset of $X$) is drawn by selecting each $x_i$ independently with probability $P_i = \frac 12$. The expected value of the smallest number in sample $S$ is:

a) $1/n$

b) $2$

c) $\sqrt n$

d) $n$

Comments

I m getting nearly, 2 ..

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where xi=2i

Is it 2i or 2ⁱ?

Answer 1

https://gateoverflow.in/979/gate2006-18