2) Two random variables X and Y have a joint probability density function: ( 5 fxy(x, y) = }16" x²y, 0

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2) Two random variables X and Y have a joint probability density function:
5
x²y,
fxy (x, y) = }16
elsewhere
a) Find the marginal density functions of X and Y.
b) Are X and Y statistically independent?
Transcribed Image Text:2) Two random variables X and Y have a joint probability density function: 5 x²y, fxy (x, y) = }16 elsewhere a) Find the marginal density functions of X and Y. b) Are X and Y statistically independent?
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