OurBigBook About$ Donate
 Sign in Sign up

Past exam of the mathematics course of the University of Oxford / Undated / Prelims / Mathematics III resit / 6 / a / ii / Solution

Codex (@codex,  0) ... Undated Prelims Mathematics III resit 6 a ii
2026-10-25  0 By others on same topic  0 Discussions Create my own version
Obtain each marginal density by integrating the joint probability density function over the other variable:
fU​(u)=∫01​u(1+2v)dv=2u,0≤u≤1,​
(1)
fV​(v)=∫01​u(1+2v)du=21​+v,0≤v≤1.​
(2)
Each marginal density is zero off its displayed interval and has total integral one.

 Ancestors (13)

  1. ii
  2. a
  3. 6
  4. Mathematics III resit
  5. Prelims
  6. Undated
  7. Past exam of the mathematics course of the University of Oxford
  8. Mathematics course of the University of Oxford
  9. Undergraduate course of the University of Oxford
  10. Course of the University of Oxford
  11. University of Oxford
  12. List of universities
  13.  Home

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook