Consider two numbers X and Y picked independently with the following pdfs: (2x, 0≤x≤1 0, otherwise fx(x) = [2y, 0≤ y ≤1 fy(y) = 0, otherwise Compute the probability that X+Y> 1.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Consider two numbers X and Y picked independently with the following pdfs:
(2x, 0≤x≤1
0,
otherwise
fx(x) =
fy (y) =
Compute the probability that X + Y > 1.
2y,
0≤ y ≤1
otherwise
Transcribed Image Text:Consider two numbers X and Y picked independently with the following pdfs: (2x, 0≤x≤1 0, otherwise fx(x) = fy (y) = Compute the probability that X + Y > 1. 2y, 0≤ y ≤1 otherwise
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