Joint Probability Distributions

1 reply · 2K views · last reply
Carla1985
Messages
91
Reaction score
0
I have this question:

View attachment 690and I'm a little confused. To calculate joint distributions in the earlier questions i was using:[tex]P_{(\xi1,\xi2)}(x1,x2)=P_{(\xi1)}(x1)P_{(\xi2)}(x2)[/tex]But that would mean that if:[tex]P_{(\xi1,\xi2)}(2,0)=0\ either\ P_{(\xi1)}(2)=0\ or\ P_{(\xi2)}(0)=0[/tex]which can't be true in either case as [tex]P_{(\xi1,\xi2)}(1,0)\ isnt\ 0\ and\ neither\ is\ P_{(\xi1,\xi2)}(2,1)[/tex]Can someone please explain what I'm missing. Thanks :/
 
Attachments
  • Text problem with a 3x3 table of joint probabilities P(xi1, xi2) for values 0, 1, 2, with fractions over 15, followed by parts (i) and (ii) asking for marginal distributions and covariance.
    Screen Shot 2013-03-11 at 11.40.06 copy.jpg
    21.1 KB · Views: 108
Nevermind, I found my mistake. This was only for independent variables, which these obviously aren't :)