A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 5 years ago

Suppose X and Y have joint density f(x,y)=1 for 0<x,y<1. Find P(XY<=z)

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

    I'll try to get you an answer early tomorrow some time if someone hasn't answered it first. I have to look up technique and I don't want to go grab my book out from my car. It's a cool question though, I just didn't have to do it in Cal III other than knowing it was an application of multiple integrals, but I'll get with you in the morning some time with whatever I got. Looking at it though I thought that P has to be less than 1, and is f(x,y)= 1 the function that we are considering or something else. Either way I'll have more insight tomorrow.

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

    It looks like it's just the double integral of x*y. with both bounds from 0 to 1. = 1/4. Now if there is another definition for values of x and y, then you put those values in the integral. The lower bounds of dy and dx have to be at least 0, and we are only considering z as far as 1 it looks like, so there goes the upper bounds for dy dx. Let me know if you hae something more to it, but that seems to be all we are looking at.

  3. 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...


  • 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.