# Probabilities : Probability Density and Marginal Density

Not what you're looking for? Search our solutions OR ask your own Custom question.

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?

https://brainmass.com/math/probability/probabilities-probability-density-marginal-density-18558

#### Solution Preview

Please see the attached file for the complete solution.

Thanks for using BrainMass.

The random vector (X,Y) has density

where is the indicating function on that interval, i.e. it is equal to ...

#### Solution Summary

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

$2.49