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X and Y are independent random variables uniformly distributed over (0, 1). Compute the probability that the larger of the two is at least three times as large as the other one.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 44CR

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X and Y are independent random variables uniformly distributed over (0, 1). Compute the probability that the larger of the two is at least three times as large as the other one.

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