# Jointly Distributed Random Variables : Joint Probability Density Functions

Suppose X and Y are jointly continuous with joint pdf f(x,y)=xe^[-x(1+y)], x,y>0.

a) What are the marginal pdf's of X and Y?

b) What is the conditional pdf of X given Y=y?

c) What is the conditional pdf of Y given X=x?

d) What is the distribution of Y given X=x called?

https://brainmass.com/statistics/probability-density-function/jointly-distributed-random-variables-joint-probability-density-functions-37794

#### Solution Summary

Joint Probability Density Functions are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

$2.19