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Probabilities : Probability Density and Marginal Density

Please see the attached file for full problem description.

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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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Solution Summary

Probability and marginal densities are investigated. The solution is well presented.

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