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

Question

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

Quizplus · Accepted Answer

The Answer is A

The Probability Distribution Shown Below Describes a Population of Measurements x024p(x)1/31/31/3\begin{array}{c|ccc}\mathrm{x} & 0 & 2 & 4 \\\hline \mathrm{p}(\mathrm{x}) & 1 / 3 & 1 / 3 & 1 / 3\end{array}xp(x)​01/3​21/3​41/3​​

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