Question

The random variables X and Y have the joint PDF FX,Y(x,y) = { 6*e^-(3x + 2y)...

The random variables X and Y have the joint PDF

FX,Y(x,y) = { 6*e^-(3x + 2y) 0 <= x, y

{ 0 otherwise

(a) Show whether X and Y are independent or not.

(b) Find the PDF of fX,Y |B(x,y) where B represents the event X + Y < 3

(c) Find fY | B(x) where B represents the event X + Y < 3

Math   Statistics-And-Probability   
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Answer #1

Since Joint density is product of marginals X and Y are independent

  

  

  

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