A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

if the joint probability density of X and Y is given by f(x,y)= .25(2x+y) for 0<x<1, 0<y<2 and 0 elsewhere I need to find the marginal density of X.............I am not sure if I am supposed to use the 0<x<1 or the 0<y<2 for the integral...if someone could answser that then I know how to do the rest of it

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    its a double integral so take the integral with respect to x with the limits of x and then take that answer and do a second integral with respect to y and use those limits

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    since I'm only looking for the marginal density of X the book says g(x)=\[\int\limits_{?}^{?}\]f(x,y)dy for \[-\infty\]<x<\[\infty\]....so its not a double integral in this case...but when I did the problem i used the 0<x<1 but my answer was incorrect, so I'm thinking that maybe i should've used the 0<y<2...any suggestions?

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok wow I didn't know it was going to start a new paragraph everytime I used the equation editor

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i would try that since your taking integral with respect to y

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    It is a double integral first evaluate the integral of y, then evaluate the integral of x\[\int\limits_{0}^{1}\int\limits_{0}^{2}(1/2x+1/4y)dydx\]

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.