Find (By Inspection) the Expected Value and the Variance of the Random

question 43

Short Answer

Find (by inspection) the expected value and the variance of the random variables with the following density function: $f ( x ) = 0.2 e ^ { - 0.2 x } , x \geq 0$ Enter your answer as just two integers separated by a comma, the first representing E(X) and the second representing Var(X).

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Definitions:

Arteriosclerosis

A general term for the thickening and hardening of arteries, which can restrict blood flow and lead to various cardiovascular diseases.

Capillaries

The smallest blood vessels in the body's circulatory system, responsible for the exchange of oxygen, nutrients, and waste products between blood and tissues.

Veins

Blood vessels that carry blood towards the heart, typically carrying deoxygenated blood from various parts of the body.

Existential Intelligence

A term from Howard Gardner's theory of multiple intelligences, highlighting an individual's capacity to tackle deep questions about human existence, such as the meaning of life, why we die, and how we got here.