Suppose that internet users access a particular Web site according to a Poisson process with rate per hour, but is unknown The Web site maintainer believes that has a continuous distribution with p d f f () Let X be the number of users who access the Web site during a one hour period If X 1 is observed, find the conditional p d f of given X 1 2e 2 for 0, 0 otherwise f(a)

Question: Suppose that internet users access a particular Web site according to a Poisson process with rate per hour, but is unknown. The Web

Suppose that internet users access a particular Web site according to a Poisson process with rate Î» per hour, but Î» is unknown. The Web site maintainer believes that Î» has a continuous with p.d.f. f (Î») =

Let X be the number of users who access the Web site during a one-hour period. If X = 1 is observed, find the conditional p.d.f. of Î» given X = 1.

2e-2 for > 0, 0 otherwise. f(a)

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