Question: The joint probability density function of X and Y is given by f(x,y) ={ cxe(x+y) : x > 0, y > 3 0 : otherwise

The joint probability density function of X and Y is given by f(x,y) ={ cxe(x+y) : x > 0, y > 3 0 : otherwise

(a) (5 points) Are X and Y independent?

(b) (5 points) What if f(x,y) were given by f(x,y) ={ 2 : 0 < x < y, 0 < y < 1 0 : otherwise

Would they be independent?

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