(5 points) Suppose that students enters the COVID-19 testing site at Cal State LA according to a Poisson distribution with rate A per hour, but λ is unknown. The university believes that A has a continuous distribution with p.d.f. f(x) = 0, 2e-2, for x > 0, otherwise. Let X be the number of students who enters the testing site during a one-hour period. If X = 1 is observed, find the conditional p.d.f. of X given X = 1.