Consider two random variables X and Y having joint density function f(x,y)=2^e−x−y,0

Are you looking for Consider two random variables X and Y having joint density function f(x,y)=2e^−x−y,0<x<y<∞. Are X and Y independent? Find the covariance of X and Y. Answer? If yes, here is the correct answer to this question asked in the NPTEL Introduction To Machine Learning Assignment. The correct answer of Consider two random variables X and Y having joint density function f(x,y)=2e^−x−y,0<x<y<∞. Are X and Y independent? Find the covariance of X and Y is marked in green color with a tick sign.

Consider two random variables X and Y having joint density function f(x,y)=2e^−x−y,0<x<y<∞. Are X and Y independent? Find the covariance of X and Y.

1. Yes, 1/4
2. Yes 1/2
3. No, 1/4
4. No, 1/2

Correct Answer: Yes, 1/4

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