Let X∼Uniform(0,1)X \sim \text{Uniform}(0,1)X∼Uniform(0,1) and define Y=−ln(X)Y = -\ln(X)Y=−ln(X). What is the CDF of YYY?
1−e−y1 - e^{-y}1−e−y for y>0y > 0y>0
e−ye^{-y}e−y for y>0y > 0y>0
1−ey1 - e^{y}1−ey for y>0y > 0y>0
yyy for 0<y<10 < y < 10<y<1