Q46Comprehension3 Marks24 Mar 2024PassageBased on the above data, answer the given subquestions. The joint probability density function of two continuous random variables XXX and YYY is given as f(x,y)=8xyf(x,y)=8xyf(x,y)=8xy for 0≤y≤x≤10\le y\le x\le 10≤y≤x≤1, and 000 otherwise.Find the marginal density of XXX.AfX(x)=4x, 0≤x≤1f_X(x)=4x,\ 0\le x\le 1fX(x)=4x, 0≤x≤1; 000 otherwiseBfX(x)=4x, y≤x≤1f_X(x)=4x,\ y\le x\le 1fX(x)=4x, y≤x≤1; 000 otherwiseCfX(x)=4x3, 0≤x≤1f_X(x)=4x^3,\ 0\le x\le 1fX(x)=4x3, 0≤x≤1; 000 otherwiseDfX(x)=4x2, y≤x≤1f_X(x)=4x^2,\ y\le x\le 1fX(x)=4x2, y≤x≤1; 000 otherwise
