 #1
r0bHadz
 194
 17
 Homework Statement:

joint distribution p(x,y):
\begin{array}{cccc}
\hline & \frac xy & 0 & 1 \\
\hline & 0 & .5 & .2 \\
\hline & 1 & .2 & .1 \\
\hline
\end{array}
 Relevant Equations:

compute the marginal pmf from joint pmf: for x sum all of the probablities in one column
for y: sum all probabilities in one row
test for independence: if x(n)y(n) = x,y(n) then for all n then it is independent
I have x(0) = .7 x(1) = .3, y(0)=.7 y(1) = .3
since x,y(0) = .5 =/= x(0)y(0), x(0)y(0) = .49, x and y are dependent
now I need to determine whether x and y are independent or not
for x+y
[itex]\begin{array}{cccc}
\hline x+y & 0 & 1 & 2 \\
\hline p(x+y) & .49 & .42 & .09 \\
\hline
\end{array} [/itex]
but how can I possibly determine xy? since the domain will be 0 1 and 1 how can I determine 1?
since x,y(0) = .5 =/= x(0)y(0), x(0)y(0) = .49, x and y are dependent
now I need to determine whether x and y are independent or not
for x+y
[itex]\begin{array}{cccc}
\hline x+y & 0 & 1 & 2 \\
\hline p(x+y) & .49 & .42 & .09 \\
\hline
\end{array} [/itex]
but how can I possibly determine xy? since the domain will be 0 1 and 1 how can I determine 1?