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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