Events occur according to a Poisson process with rate . Any event that occurs within a time

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Events occur according to a Poisson process with rate λ. Any event that occurs within a time d of the event that immediately preceded it is called a d-event.

For instance, if d = 1 and events occur at times 2, 2.8, 4, 6, 6.6, . . . , then the events at times 2.8 and 6.6 would be d-events.

(a) At what rate do d-events occur?

(b) What proportion of all events are d-events?

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Introduction To Probability Models

ISBN: 9780443187612

13th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 05, 2024 08:02 AM

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Events occur according to a Poisson process with rate . Any event that occurs within a time

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Introduction To Probability Models

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