Suppose X and Y have joint probability density function f(x,y)=6x,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
Section13.1: Continuous Probability Models
Problem 28E
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Suppose X and Y have joint probability density function
[6x,0<x<1,0<y<1-x
0,elsewhere.
f(x,y)=
a. Determine whether the two random variables are dependent or independent.
b. If the value of Y is 0.5, what is the probability that X will have a value greater than 0.3?
Transcribed Image Text:Suppose X and Y have joint probability density function [6x,0<x<1,0<y<1-x 0,elsewhere. f(x,y)= a. Determine whether the two random variables are dependent or independent. b. If the value of Y is 0.5, what is the probability that X will have a value greater than 0.3?
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