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

question 17

Short Answer

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. Which of the following would represent the sampling distribution of the sample mean? A) $\begin{array}{c|ccc}\bar{x} & 0 & 2 & 4 \\\hline\mathrm{p}(\bar{x})& 1 / 3 & 1 / 3 & 1 / 3\end{array}$

B) $\begin{array}{c|ccccc}\bar{x} & 0 & 1 & 2 & 3 & 4 \\\hline \mathrm{p}(\bar{x}) & 1 / 5 & 1 / 5 & 1 / 5 & 1 / 5 & 1 / 5\end{array}$

C) $\begin{array}{c|ccccc}\overline{\mathrm{x}} & 0 & 1 & 2 & 3 & 4 \\\hline \mathrm{p}(\overline{\mathrm{x}}) & 2 / 9 & 2 / 9 & 1 / 9 & 2 / 9 & 2 / 9\end{array}$

D) $\begin{array}{c|ccccc}\overline{\mathrm{x}} & 0 & 1 & 2 & 3 & 4 \\\hline \mathrm{p}(\overline{\mathrm{x}}) & 1 / 9 & 2 / 9 & 3 / 9 & 2 / 9 & 1 / 9\end{array}$

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Definitions:

Production

The process of creating goods or services by combining labor, capital, and raw materials in order to meet consumer demand.

Rental Housing Services

Rental Housing Services refer to the provision of accommodation for a payment made by tenants to landlords under agreed terms.

Owner-Occupied Housing

Residential properties that are occupied by the owner of the property, differentiating these from rental properties or investment properties.

Market Value

The present cost at which a good or service is available for purchase or sale on the public market.