Let X and Y be two random variables with joint probability density function $f ( x , y ) = \left\{ \begin{array} { l l }
A x ^ { 2 } y & 0

Question

Let X and Y be two random variables with joint probability density function $f ( x , y ) = \left\{ \begin{array} { l l } 
A x ^ { 2 } y & 0 < x < 1,0 < y < 2 \
0 & \text { elsewhere }
\end{array} \right.$ 
(a) Find A.
(b) Find the marginal distribution function of X.

Quizplus · Accepted Answer

The Answer of Let X and Y be two random variables with joint probability density function $f ( x , y ) = \left\{ \begin{array} { l l } 
A x ^ { 2 } y & 0 < x < 1,0 < y < 2 \
0 & \text { elsewhere }
\end{array} \right.$ 
(a) Find A.
(b) Find the marginal distribution function of X.

Let X and Y Be Two Random Variables with Joint f(x,y)={Ax2y0<x<1,0<y<20 elsewhere f ( x , y ) = \left\{ \begin{array} { l l } A x ^ { 2 } y & 0 < x < 1,0 < y < 2 \\0 & \text { elsewhere }\end{array} \right.f(x,y)={Ax2y0​0<x<1,0<y<2 elsewhere ​

Let X and Y Be Two Random Variables with Joint $f ( x , y ) = \left\{ \begin{array} { l l } A x ^ { 2 } y & 0 < x < 1,0 < y < 2 \\0 & \text { elsewhere }\end{array} \right.$