Which of the Following Is Not True for a Random $a \leq x \leq b$

question 29

Multiple Choice

Which of the following is not true for a random variable X that is uniformly distributed over the interval $a \leq x \leq b$ ?

• A)E(X) = (a + b)/2.
• B)V(X) = \(( b - a ) ^ { 2 }\) /12.
• C) \(\sigma\) = (b - a)/6.
• D) \(f ( x ) = 1 / ( b - a )\) if a ? x ? b.

---

Definitions:

Unavoidable Shocks

An inescapable event or occurrence that causes stress or trauma, often used in the context of psychological experiments.

Self-Regulation

The ability to monitor and control one's behaviors, emotions, or thoughts, adjusting them in accordance with standards or goals.

Emotional Stability

A personality trait that involves maintaining composure and not easily getting upset or stressed.

Attributional Style

An individual's habitual way of explaining events, which can influence their motivation, mood, and reactions to situations.