Question: Given the continuous random variables X and Y that have a joint distribution: fxy(x,y) = 4xy where 0 < x < 1 and 0

Given the continuous random variables X and Y that have a joint distribution:

fxy(x,y) = 4xy where 0 < x < 1 and 0

a) are X and Y independent

b) what is the correlation between X and Y

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Similar question:

X/Y | -5 | -4 | -3 | -2

-10 0.03 0.03 0.05 0.00

-9 0.03 0.00 0.38 0.07

-8 0.06 0.11 0.01 0.03

-7 0.07 0.02 0.01 0.10

a) are X and Y independent

b) What is the correlation between X and Y

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