The joint probability function of random variables X and Y is given to be: ( 3x – y f(x, y) = 15x54,1< ys 2 elsewhere a. Find the marginal density functions of X and Y b. Prove the independency of the variables
The joint probability function of random variables X and Y is given to be: ( 3x – y f(x, y) = 15x54,1< ys 2 elsewhere a. Find the marginal density functions of X and Y b. Prove the independency of the variables
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 33E: Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and...
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![The joint probability function of random variables X and Y is given to be:
Зх — у
f(x,y) =
1<x<4,1< y < 2
9
elsewhere
a. Find the marginal density functions of X and Y
b. Prove the independency of the variables](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3a90c51-05e7-45d0-93ce-2e6b86cd8453%2Fb6cabcb3-057e-4793-a8da-ffea29d71fbe%2Fmk5xu0m_processed.png&w=3840&q=75)
Transcribed Image Text:The joint probability function of random variables X and Y is given to be:
Зх — у
f(x,y) =
1<x<4,1< y < 2
9
elsewhere
a. Find the marginal density functions of X and Y
b. Prove the independency of the variables
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