The Probability Distribution Shown Below Describes a Population of Measurements $\begin{array}{c|ccc}\mathrm{x} & 0 & 2 & 4 \\\hline \mathrm{p}(\mathrm{x}) & 1 / 3 & 1 / 3 & 1 / 3\end{array}$

Multiple Choice

The probability distribution shown below describes a population of measurements.
$\begin{array}{c|ccc}\mathrm{x} & 0 & 2 & 4 \\\hline \mathrm{p}(\mathrm{x}) & 1 / 3 & 1 / 3 & 1 / 3\end{array}$
Suppose that we took repeated random samples of $n = 2$ observations from the population described above. Find the expected value of the sampling distribution of the sample mean.

A) 2
B) 0
C) 1
D) 3
E) 4