8. If the random variables X and Y have the joint density for 1 ≤ x + y ≤ 2, x ≥ 0, y ≥ 0 otherwise, what is the probability P(Y ≥ X²) ? f(x, y) = /x 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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8. If the random variables X and Y have the joint density
[ ¾ ª
X
for 1 ≤ x + y ≤ 2, x ≥ 0, y ≥0
0
f(x, y)
=
otherwise,
what is the probability P(Y ≥ X²) ?
Transcribed Image Text:8. If the random variables X and Y have the joint density [ ¾ ª X for 1 ≤ x + y ≤ 2, x ≥ 0, y ≥0 0 f(x, y) = otherwise, what is the probability P(Y ≥ X²) ?
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