14. Suppose that X and Y are independent geometric random variables w same parameter p. (a) Without...

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14. Suppose that X and Y are independent geometric random variables w same parameter p.

(a) Without any compotations, what do you think is the value of P(XiX+Y)?

HINT: Imagine that you continually flip a coin having probability p of coming up heads. If the second head occurs on the wth flip, what is the probability mass function of the time of the first head?

(b) Verify your conjecture in part (a).

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A First Course In Probability

ISBN: 9780137463145

5th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 07, 2024 05:02 AM

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14. Suppose that X and Y are independent geometric random variables w same parameter p. (a) Without...

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A First Course In Probability

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