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

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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

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. ​

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

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