ord-15. Suppose that internet users access a particular Welsite according to a Poisson process with rate à per hourbut à is unknown. The Web site maintainer believes thaA has a continuous distribution with p.d.f.at aav-that| 2e-24 for à > 0,an ks(a) =otherwise.Let X be the number of users who access the Welsite during a one-hour period. If X =1 is observed, finethe conditional p.d.f. of à given X = 1.ainsthes no16. In this exercise, we shall prove that the three assump

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15. Suppose that internet users access a particular Wel site according to a Poisson process with rate à per hour but à is unknown. The Web site maintainer believes tha A has a continuous distribution with p.d.f. | 2e-2 for à > 0, sa) = S() = otherwise. Let X be the number of users who access the Wel site during a one-hour period. If X 1 is observed, fine the conditional p.d.f. of A given X = 1.

15. Suppose that internet users access a particular Wel site according to a Poisson process with rate à per hour but à is unknown. The Web site maintainer believes tha A has a continuous distribution with p.d.f. | 2e-2 for à > 0, sa) = S() = otherwise. Let X be the number of users who access the Wel site during a one-hour period. If X 1 is observed, fine the conditional p.d.f. of A given X = 1.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Estimation

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Question

ord-
15. Suppose that internet users access a particular Wel
site according to a Poisson process with rate à per hour
but à is unknown. The Web site maintainer believes tha
A has a continuous distribution with p.d.f.
at a
av-
that
| 2e-24 for à > 0,
an k
s(a) =
otherwise.
Let X be the number of users who access the Wel
site during a one-hour period. If X =1 is observed, fine
the conditional p.d.f. of à given X = 1.
ains
the
s no
16. In this exercise, we shall prove that the three assump

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