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We are given a set $X = \{X_1,\ldots,X_n\}$ where $X_i=2^i$.  A sample  $S\subseteq X$ is drawn by  selecting each $X_i$  independently with probability $P_i = \frac{1}{2}$ . The expected value of the smallest number in sample $S$ is:

  1. $\left(\frac{1}{n}\right)$
  2. $2$
  3. $\sqrt n$
  4. $n$
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–2 votes
–2 votes
Most probably 2 option b not sure.
Answer:

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