Find K So That the Function $f ( x ) = \left\{ \begin{array} { l l } \frac { k } { x ( \ln x ) ^ { 3 } } & \text { if } x > e \\0 & \text { otherwise }\end{array} \right.$

question 39

Multiple Choice

Find k so that the function $f ( x ) = \left\{ \begin{array} { l l } \frac { k } { x ( \ln x ) ^ { 3 } } & \text { if } x > e \\0 & \text { otherwise }\end{array} \right.$ can serve as the probability density function of a random variable X.

• 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:

Spontaneous Recovery

A phenomenon in learning where a previously extinguished response reemerges after a period without exposure to the conditioned stimulus.

Bandura's Study

Refers to research conducted by psychologist Albert Bandura, especially known for his work on social learning theory and the concept of self-efficacy.

Aggression

Behavior intended to harm or intimidate others, manifesting physically or verbally.

Contingencies

Events or conditions that may occur but are dependent on other occurrences or conditions.