3. Suppose X and Y have joint probability density function f(x,y) = {"0. 0 < x< 1,0 < y <1- x elsewhere. 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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3. Suppose X and Y have joint probability density function
f(x, y) = {*
S6x,
0 < x< 1,0 < y <1- x
elsewhere.
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?
а.
Transcribed Image Text:3. Suppose X and Y have joint probability density function f(x, y) = {* S6x, 0 < x< 1,0 < y <1- x elsewhere. 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? а.
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