Let X∼Uniform(0,1)X \sim \text{Uniform}(0, 1)X∼Uniform(0,1). What is the PDF of Y=−2ln(X)Y = -2 \ln(X)Y=−2ln(X)?
f(y)=12e−y/2,y>0f(y) = \frac{1}{2} e^{-y/2}, y > 0f(y)=21e−y/2,y>0
f(y)=e−y,y>0f(y) = e^{-y}, y > 0f(y)=e−y,y>0
f(y)=12e−y,y>0f(y) = \frac{1}{2} e^{-y}, y > 0f(y)=21e−y,y>0
f(y)=2e−2y,y>0f(y) = 2 e^{-2y}, y > 0f(y)=2e−2y,y>0