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Probabilities : Probability Density and Marginal Density

Please see the attached file for full problem description.


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?


Solution Summary

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