Consider the Population Described by the Probability Distribution Below $\begin{array}{c|c|c|c}x & 3 & 5 & 7 \\\hline p(x) & .1 & .7 & .2\end{array}$

question 46

Essay

Consider the population described by the probability distribution below. $\begin{array}{c|c|c|c}x & 3 & 5 & 7 \\\hline p(x) & .1 & .7 & .2\end{array}$

a. Find $\mu$ .
b. Find the sampling distribution of the sample mean $\bar { x }$ for a random sample of $n = 2$ measurements from the distribution.
c. Show that $\bar { x }$ is an unbiased estimator of $\mu$ .

---

Definitions:

Management Directive

A directive given by the management of an organization that outlines expected behaviors, actions, or processes.

Relapse Prevention

Strategies and techniques aimed at preventing a return to undesirable behavior or conditions, especially within healthcare and mental health contexts.

Self-Management

The ability to regulate one’s behavior, emotions, and thoughts in a way that is productive and conducive to achieving personal goals.

Upward Feedback

A process where employees provide feedback on their supervisor's performance, leadership style, and management practices.