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

question 113

Multiple Choice

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

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Definitions:

Systematic Thinking

A methodical approach to problem-solving and decision-making that involves logical, step-by-step procedures.

Formal Operational Reasoning

Piaget’s fourth stage of cognitive development, characterized by abstract, logical, and systematic thinking.

Risky Impulses

Sudden urges to engage in behaviors that could be dangerous or have negative consequences.

Concrete Problems

Issues or challenges that are tangible and can be directly observed or physically dealt with, as opposed to abstract problems.