Multiple choice

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

  1. $\dfrac{1}{2}$

  2. 2
  3. $\sqrt{n}$

  4. n
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

As the sample S $\subseteq $ X, each element of S is an integral power of 2. The expected value of the smallest number is sample S is 2.

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