The Probability Density Function for a Random Variable X Is $\frac { 3 } { 4 }$

question 62

Short Answer

The probability density function for a random variable X is f(x) = $\frac { 3 } { 4 }$ (2x - $x ^ { 2 }$ ), $0 \leq x \leq 2$ . Find $\operatorname { Pr } ( 0 \leq X \leq 1 )$ Enter just a reduced fraction.

---

Definitions:

Seventeenth Century

The period from 1601 to 1700, marked by significant developments in various fields such as science, politics, and exploration.

North American

Refers to anything related to the continent that comprises the northern part of America, including Canada, the United States, Mexico, and Greenland.

Virginia Company

The Virginia Company was a joint-stock company chartered by King James I of England in the early 17th century with the purpose of establishing settlements on the coast of North America.

Headright System

A land grant policy that provided settlers a certain amount of land for each indentured servant they transported to America, primarily used in the colonial period.