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 28

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:

Vendor Relationship

The interaction and management of the connection between an organization and its suppliers or service providers.

Vendor Performance

The assessment of a supplier's ability to deliver goods or services in accordance with predetermined agreements.

Project Management Priority

The established importance or precedence given to certain tasks or objectives within a project management context.

Procurement Team

A group of professionals responsible for managing the procurement activities within a project, ensuring products and services are acquired efficiently and effectively.