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