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 36

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 $\sigma ^ { 2 }$ .
b. Find the sampling distribution of the sample variance $s ^ { 2 }$ for a random sample of $n = 2$ measurements from the distribution.
c. Show that $s ^ { 2 }$ is an unbiased estimator of $\sigma ^ { 2 }$ .

Understand the process of endosymbiosis and its genetic implications for eukaryotic evolution.

Understand the concept of Hardy-Weinberg equilibrium and the conditions under which it is maintained.

Recognize and explain the significance of multiple allele systems and balanced polymorphisms in populations.

Calculate allele frequencies and predict genotype frequencies in a population using Hardy-Weinberg law.

---

Definitions:

Analgesic Medications

Drugs designed to relieve pain without causing loss of consciousness.

Central Line

A catheter placed in a large vein, typically in the neck, chest, or groin, to administer medication or fluids, or to obtain diagnostic tests.

Progress Notes

Documentation in a patient's health record that outlines the healthcare services provided, observations, and patient’s progress during treatment.

Suicidal

The state of having thoughts, considerations, or intentions of ending one's own life, often associated with mental health issues such as depression or trauma.