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Find the marginal densities of x and y are they independent

The random vector (X,Y) has density....
where is the indicating function on that interval, i.e. it is equal to 1 if y belongs to and is equal to 0 otherwise.

a. Evaluate c so that g is a probability density.

b. Find the marginal densities of X and Y. Are they independent, and why?

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Basic Statistics: Find the marginal densities of x and y are they independent

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