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Suppose continuous random variables X and Y have joint pdf f X ,Y (x , y)= 2 3 (x+2y) for 0 and 0 a) (4)

Suppose continuous random variables X and Y have joint pdf f X ,Y

(x , y)=

2

3

(x+2y) for 0

and 0

a) (4) Determine the marginal distribution for X. Be sure to give the support set.

b) (2) Are X and Y independent? How do you know?

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