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
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
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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 23E
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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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