Q28Comprehension3 Marks10 Jul 2022PassageLet XXX be a continuous uniform random variable on (0,1)(0,1)(0,1) and Y=1/XY=1/XY=1/X. Based on the above data, answer the given subquestions.Find the probability density function of YYY.AfY(y)=1−1/y2f_Y(y)=1-1/y^2fY(y)=1−1/y2, for 0≤y<∞0\le y<\infty0≤y<∞BfY(y)=1−1/y2f_Y(y)=1-1/y^2fY(y)=1−1/y2, for 1≤y<∞1\le y<\infty1≤y<∞CfY(y)=1/y2f_Y(y)=1/y^2fY(y)=1/y2, for 0≤y<∞0\le y<\infty0≤y<∞DfY(y)=1/y2f_Y(y)=1/y^2fY(y)=1/y2, for 1≤y<∞1\le y<\infty1≤y<∞