Ask
your own question, for FREE!
Mathematics
54 Online
suppose X is uniform on (0,1) and Y=X. Find the joint distribution function of X and Y.
Still Need Help?
Join the QuestionCove community and study together with friends!
If Y=X then the joint distribution function is \[F_{(X,Y)}(x,y)=\mathbb{P}(X\leq x,Y\leq y)=\mathbb{P}(X\leq\min(x,y))=F_X(\min(x,y))\] which in our case \[F_X(\min(x,y))=\left\{\begin{array}{ll}0&\textrm{, if }x,y\leq 0,\\x&\textrm{, if }0<x\leq y\leq 1,\\y&\textrm{, if }0<y\leq x\leq 1,\\1&\textrm{, if }1<x,y.\end{array}\right.\] The plot of the joint distribution function is attached.
Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!
Join our real-time social learning platform and learn together with your friends!
Join our real-time social learning platform and learn together with your friends!
Latest Questions
janaeDehon:
Which of the following lines best summarizes the story? A. The story details an African vacation from a long time ago, in which Sage's adventures are descri
Subshilava:
I have an issue my mom bought me a 3d cat mold from tj maxx and everytime I fill
ShikuniShigana:
Alright so. I need some art ideas, or Drawing design ideas for this Character im doing, He's Kinda like based off Vita Carnis+Shefki Shin+Death Angel(From Q
gelphielvr:
hello :] I have to make a model for my biology class for either topic "evolution"
SnowyBreaks:
Question for the staff here, Could you possibly change my name. I'll dm the name
SsTDOGRednek:
Could someone read my essay and give me some criticism?
Yosad930:
still speed studying for dual enrollment macroeconomics, and a few quick question
gelphielvr:
I have a presentation to do In Front of like 50 people does anyone have any tips
gelphielvr:
(US history) The Gilded Age I need to write a caption for this picture. Any recom
19 minutes ago
2 Replies
0 Medals
26 minutes ago
17 Replies
3 Medals
19 hours ago
16 Replies
2 Medals
21 hours ago
15 Replies
2 Medals
1 day ago
2 Replies
0 Medals
17 hours ago
39 Replies
4 Medals
1 day ago
5 Replies
1 Medal
1 day ago
6 Replies
1 Medal
1 day ago
2 Replies
0 Medals