If X∼Exp(λ)X \sim \text{Exp}(\lambda)X∼Exp(λ), what is the distribution of Y=e−XY = e^{-X}Y=e−X?
Uniform(0,1)\text{Uniform}(0, 1)Uniform(0,1) if λ=1\lambda=1λ=1
Beta(λ,1)\text{Beta}(\lambda, 1)Beta(λ,1)
Exponential(λ)\text{Exponential}(\lambda)Exponential(λ)
Bernoulli(p)\text{Bernoulli}(p)Bernoulli(p)