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

Question

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

Quizplus · Accepted Answer

The Answer is A

Find C So That the Following Can Serve as the Probability