For what value of is $$f ( x , y , z ) = \left\{ \begin{array} { l l }
\frac { 1 } { c } e ^ { x + y + z } & x , y , z \leq 2 \
0 & \text { else. }
\end{array} \right.$$ a joint probability density function? For that value of c, find P(X

Question

For what value of is $$f ( x , y , z ) = \left\{ \begin{array} { l l } 
\frac { 1 } { c } e ^ { x + y + z } & x , y , z \leq 2 \
0 & \text { else. }
\end{array} \right.$$ a joint probability density function? For that value of c, find P(X<Y|Y<Z).

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The Answer of For what value of is $$f ( x , y , z ) = \left\{ \begin{array} { l l } 
\frac { 1 } { c } e ^ { x + y + z } & x , y , z \leq 2 \
0 & \text { else. }
\end{array} \right.$$ a joint probability density function? For that value of c, find P(X<Y|Y<Z).

For What Value of Is f(x,y,z)={1cex+y+zx,y,z≤20 else. f ( x , y , z ) = \left\{ \begin{array} { l l } \frac { 1 } { c } e ^ { x + y + z } & x , y , z \leq 2 \\0 & \text { else. }\end{array} \right.f(x,y,z)={c1​ex+y+z0​x,y,z≤2 else. ​

For What Value of Is $f ( x , y , z ) = \left\{ \begin{array} { l l } \frac { 1 } { c } e ^ { x + y + z } & x , y , z \leq 2 \\0 & \text { else. }\end{array} \right.$