and Y have joint probability density function f(x,y)=6x,0

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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3. Suppose X and Y have joint probability density function
(6x,0<x<1,0<y<1-x
flx.y)=6x,
0,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?
Transcribed Image Text:3. Suppose X and Y have joint probability density function (6x,0<x<1,0<y<1-x flx.y)=6x, 0,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?
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