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

Multiple Choice

The probability distribution shown below describes a population of measurements. $$\begin{array} { c | c c c } \mathrm { x } & 0 & 2 & 4 \\\hline \mathrm { p } ( \mathrm { x } ) & 1 / 3 & 1 / 3 & 1 / 3\end{array}$$ 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) 0
B) 1
C) 2
D) 3
E) 4