Did I do this joint density problem correctly?

  • #1

Homework Statement



1. Calculate Fxy(.25,.25)
2. Calculate Fx(.25)
3. Calculate Fy(.25)


Homework Equations



f(xy) = 2 (x+y) if 0[tex]\leq[/tex] x [tex]\leq[/tex] 1 and 0 [tex]\leq[/tex] y [tex]\leq[/tex] x



The Attempt at a Solution



1. without showing all of the steps of my integration (because I apparently can't work this editor too well), I get:

(2/3) * x^3 + (1/3) * x^3 0|.25

= .016



2. (2/3) * x^3 + (1/3) * x^3 0|.25

= .016



3. y + y^2 0|.25
= .3125


Did you guys come up with the same numerical answers as I did for this?
 

Answers and Replies

  • #2
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,556
767
.016 is approximately 1/64 so your answers are almost correct.

But why not give exact fractional values?
 

Related Threads on Did I do this joint density problem correctly?

Replies
3
Views
18K
Replies
5
Views
652
  • Last Post
Replies
5
Views
5K
Replies
9
Views
1K
Replies
1
Views
1K
Replies
4
Views
907
Replies
5
Views
1K
  • Last Post
Replies
1
Views
813
Replies
3
Views
1K
  • Last Post
Replies
3
Views
2K
Top