If X is exponential with rate , find P{[X] = n,X [X] x}, where [x]

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If X is exponential with rate λ, find P{[X] = n,X − [X] ≤ x}, where [x] is defined as the largest integer less than or equal to x. Can you conclude that [X] and X − [X] are independent?

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A First Course In Probability

ISBN: 9789332519077

9th Edition

Authors: Sheldon Ross

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Question Posted: Oct 22, 2015 02:59 AM

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If X is exponential with rate , find P{[X] = n,X [X] x}, where [x]

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For 0 x 1 PX n X X x Pn X n x e n e n x e n 1 e x Becau...View the full answer

A First Course In Probability

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