Suppose that internet users access a particular website according to a Poisson process with rate λ per hour, but λ is unknown. The webmaster believes that λ has a continuous distribution with pdf f(λ)=2e2λ , for λ>0, and f(λ)=0 otherwise. Let X be the number of users who access the website during a one-hour period.
If X = 1 is observed, find the conditional pdf of λ
given X = 1