Let $f ( x ) = 6 x ( 1 - x ) , 0 < x < 1$

question 105

Multiple Choice

Let $f ( x ) = 6 x ( 1 - x ) , 0 < x < 1$ be the probability density function of a random variable X. Find the mean of the probability density function $f$ .

• A) \(\frac { 1 } { 3 }\)
• B) \(\frac { 1 } { 6 }\)
• C) \(\frac { 1 } { 2 }\)
• D)1
• E)3
• F)6
• G)2
• H)0

---

Definitions:

Valuing Diversity

The recognition and appreciation of the differences in culture, background, and perspective among individuals within a group.

Racial Group

A categorization of humans based on shared physical or social qualities into groups considered to be distinct by society.

Cultural Group

A collection of individuals who share common cultural, religious, or ethnic backgrounds.

Gender Prejudice

Preconceived opinions or judgments about people based on their gender, often resulting in discrimination or bias.