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 43

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 median for a random sample of $n = 2$ observations from this population.
c. Show that the median is an unbiased estimator of $\mu$ .

---

Definitions:

Circular Differentiation

The process of distinguishing entities or elements in a system based on their roles, attributes, or positions in a circular, rather than linear, hierarchy.

Lateral Differentiation

The way in which an organization segregates its operations and responsibilities across the same hierarchical level.

Standardization

The process of implementing and developing technical standards to ensure consistency and compatibility within products, services, or processes.

Formalization

The degree to which the organization has official rules, regulations, and procedures.