Let X∼Uniform(0,1)X \sim \text{Uniform}(0, 1)X∼Uniform(0,1). What is the distribution of Y=−2ln(X)Y = -2 \ln(X)Y=−2ln(X)?
χ2(2)\chi^2(2)χ2(2)
Exponential(1)
Normal(0, 2)
Gamma(2, 1)