Thread: need Help joint distributions

need solution of attached file.thank you

Originally Posted by finetune

need solution of attached file.thank you

The first question is asking you to prove that P(X,Y)=g(x)h(y).

RonL

I have just done ist part but i am feeling difficulty in the following parts
2, 3, and 4th part of the question.
1st question is from Joint Distributions.
which formula will be use for f(x/1) and for P(X=2/Y=1) here are 2 formula's
Conditional probability function for X given Y=y
1.X given Y=y
f(xi|yj)=P(X=xi|Y=yj)
=P(X=xi and Y=yj)/P(Y=Yj)
=f(xi,yj)/h(yj) for i=1,2,....j=1,2

2. Conditional probability function for Y given X=x
f(yj|xi)=P(Y=yj|X=xi)
=P(Y=yj and X=xi)/P(X=xi)
=f(xi,yj)/g(xi), where g(x)>0.

also need help for 2nd question
Thank you.

I have done Question No 1
Please solve the question#2
thanks