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

question 8

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. Which of the following would represent the sampling distribution of the sample mean?

• A)
• \(\begin{array}{c|ccccc}
• \overline{\mathrm{x}} & 0 & 1 & 2 & 3 & 4 \\
• \hline \mathrm{p}(\overline{\mathrm{x}}) & 1 / 5 & 1 / 5 & 1 / 5 & 1 / 5 & 1 / 5
• \end{array}\)
• B)
• \(\begin{array}{c|ccccc}
• \overline{\mathrm{x}} & 0 & 1 & 2 & 3 & 4 \\
• \hline \mathrm{p}(\overline{\mathrm{x}}) & 2 / 9 & 2 / 9 & 1 / 9 & 2 / 9 & 2 / 9
• \end{array}\)
• C)
• \(\begin{array}{c|ccc}
• \bar{x} & 0 & 2 & 4 \\
• \hline \mathrm{p}(\bar{x}) & 1 / 3 & 1 / 3 & 1 / 3
• \end{array}\)

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Definitions:

Team-Maintenance Role

A role within a team focused on maintaining harmonious relationships and a positive working environment among team members.

Task-Facilitating Role

A role within a group or team aimed at helping achieve its objectives through specific actions and support.

Team Evolution

The process through which a team develops over time, often moving through stages of forming, storming, norming, and performing.

Assertive

A communication style characterized by confidence and directness, while still respecting others' rights and feelings.