Q14Comprehension2 Marks4 Aug 2024PassageLet X∼Uniform[0,1]X\sim\mathrm{Uniform}[0,1]X∼Uniform[0,1] and define Y=XY=\sqrt XY=X. Based on the above data, answer the subquestions.Find the PDF of YYY.AfY(y)=y2f_Y(y)=y^2fY(y)=y2 for $y\in[0,1]BfY(y)=2yf_Y(y)=2yfY(y)=2y for y∈[0,1]y\in[0,1]y∈[0,1]CfY(y)=yf_Y(y)=\sqrt yfY(y)=y for y∈[0,1]y\in[0,1]y∈[0,1]DfY(y)=1/(2y)f_Y(y)=1/(2\sqrt y)fY(y)=1/(2y) for y∈[0,1]y\in[0,1]y∈[0,1]
