If X∼Exponential(λ)X \sim Exponential(\lambda)X∼Exponential(λ), find the distribution of Y=e−XY = e^{-X}Y=e−X.
Uniform(0,1)Uniform(0, 1)Uniform(0,1)
Exponential(λ)Exponential(\lambda)Exponential(λ)
Beta(λ,1)Beta(\lambda, 1)Beta(λ,1)
Gamma(1,λ)Gamma(1, \lambda)Gamma(1,λ)