Math Problem: Probability

[Johntk5]

This shouldn't be to hard.

Let X and Y be identical and independent random variables, distributed exponentially with mean 2. Let u = x + y, let v = x - y. Find the joint distribution of U and V.

 

[Glavinsolo]

42

 

[Crescent13]

Oh come on even I can solve that and I'm in 10th grade. I have enough homework to do no way am I doing yours too.

 

[Johntk5]

Just need helping remembering how to set up the integrals. It should be a double integral.

 

[Johntk5]

So this is what I am thinking.

x = (u+v)/2
y = (u-v)/2

The Jacobian Matrix is

1/2, 1/2
1/2, -1/2

Its determinant is -1/2, and the absolute value of that is 1/2.

Now what do I do.

 

[Glavinsolo]

Originally posted by: Crescent13
Oh come on even I can solve that and I'm in 10th grade. I have enough homework to do no way am I doing yours too.

What high school do you go to that has probability w/ calc doing double integrals?

I think the setup looks like this: I(X;Y)=integral(X)integral(Y) p(x,y)log (p(x,y))/(p(x)p(y))dxdy

 

[sinucus]

Originally posted by: Glavinsolo

Originally posted by: Crescent13
Oh come on even I can solve that and I'm in 10th grade. I have enough homework to do no way am I doing yours too.

What high school do you go to that has probability w/ calc doing double integrals?

I think the setup looks like this: I(X;Y)=integral(X)integral(Y) p(x,y)log (p(x,y))/(p(x)p(y))dxdy

I think that qualifies as p0wned!

 

[Fenixgoon]

Originally posted by: Glavinsolo

Originally posted by: Crescent13
Oh come on even I can solve that and I'm in 10th grade. I have enough homework to do no way am I doing yours too.

What high school do you go to that has probability w/ calc doing double integrals?

I think the setup looks like this: I(X;Y)=integral(X)integral(Y) p(x,y)log (p(x,y))/(p(x)p(y))dxdy

yeah, i don't know how to do this and i've had 3 calc classes😱

 

[Syringer]

Originally posted by: Crescent13
Oh come on even I can solve that and I'm in 10th grade. I have enough homework to do no way am I doing yours too.

What are you, 5?

 

[ArchCenturion]

Jacobian. Its been awhile since Ive heard that term. Multivariable calc right? Seems like you could just Google Jacobian for the solution technique.

 

[Johntk5]

Originally posted by: ArchCenturion
Jacobian. Its been awhile since Ive heard that term. Multivariable calc right? Seems like you could just Google Jacobian for the solution technique.

Probability Theory. I am reviewing the material. I took the class last fall, and forgot how to do this. I need to know how for my class this fall.

 

[Johntk5]

This is Multivariate Calculus Probability.

 

[duragezic]

Originally posted by: sinucus

Originally posted by: Glavinsolo

Originally posted by: Crescent13
Oh come on even I can solve that and I'm in 10th grade. I have enough homework to do no way am I doing yours too.

What high school do you go to that has probability w/ calc doing double integrals?

I think the setup looks like this: I(X;Y)=integral(X)integral(Y) p(x,y)log (p(x,y))/(p(x)p(y))dxdy

I think that qualifies as p0wned!

Hahaha, stupid grom.