engineering recuitment GATE ECE 2023-24 Test Series Communication Systems Probability and Random Variable Two Dimensional Random Variables
The joint pdf of a bivariate random variable \(\left( {{\rm{X}},{\rm{Y}}} \right)\) is given by,
\({{\rm{f}}_{{\rm{XY}}}}\left( {{\rm{x}},{\rm{y}}} \right) = \left\{ {\begin{array}{*{20}{c}} {{\rm{kxy}}}&{0 < {\rm{x}} < 1,0 < {\rm{y}} < 1}\\ 0&{{\rm{otherwise}}} \end{array}} \right.\)
where \({\rm{K}}\) is a constant. The value of \({\rm{K}}\) is _______.Enter numerical value using the virtual keypad. Round off where necessary.