Find K So That the Function $f ( x ) = \left\{ \begin{array} { l l } k x ( 1 - x ) & \text { if } 0 < x < 1 \\0 & \text { otherwise }\end{array} \right.$

question 107

Multiple Choice

Find k so that the function $f ( x ) = \left\{ \begin{array} { l l } k x ( 1 - x ) & \text { if } 0 < x < 1 \\0 & \text { otherwise }\end{array} \right.$ 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

---

Definitions:

Information Privacy

The right to determine when, and to what extent, personal information can be gathered by or communicated to others.

Information Privacy

The aspect of data protection that deals with the proper handling, processing, storage, and usage of personal information.

Government Benefits

Refers to forms of financial assistance or service programs provided by governments to support individuals in society, including healthcare, education, and social security.

Aadhaar

Aadhaar is a 12-digit unique identity number issued by the Indian government to residents, based on their biometric and demographic data.