Find C So That the Following Can Serve as the Probability

question 69

Multiple Choice

Find c so that the following can serve as the probability density function of a random variable X: $$f ( X ) = \left\{ \begin{array} { l l } c \cdot X \cdot e ^ { - 4 \mathrm { x } ^ { 2 } } & \text { if } \mathrm { X } \geq 0 \\0 & \text { otherwise }\end{array} \right.$$

• A)8
• B)4
• C) \(\frac { 1 } { 8 }\)
• D) \(\frac { 1 } { 4 }\)
• E)1
• F)16
• G) \(\frac { 1 } { 16 }\)
• H)2

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Definitions:

Group Influence

The impact or effect that a group has on the attitudes, values, beliefs, or behaviors of its individual members.

Legitimate Power

A form of authority that is recognized and accepted due to the role or position held by an individual within an organization.

Manager Authority

The power vested in a managerial position to make decisions, give orders, and manage resources within an organization.

Employee Behavior

The actions and conduct of individuals within a workplace, influenced by various factors including personality, culture, and the work environment.