Let X∼Uniform(0,1)X \sim \text{Uniform}(0, 1)X∼Uniform(0,1). If Y=−2ln(X)Y = -2 \ln(X)Y=−2ln(X), what is the distribution of YYY?
Exp(1/2)\text{Exp}(1/2)Exp(1/2)
χ22\chi^2_2χ22
Normal(0,1)\text{Normal}(0, 1)Normal(0,1)
Uniform(0,2)\text{Uniform}(0, 2)Uniform(0,2)