Reply With QuoteActually you just direct translate the inequality..
If you wish, you can draw the region in the unit square as well.
i)
ii)
iii)
Let x and y have the joint density:
f(x,y) = 6/7(x+y)^2 for 0<=x<=1 and 0<=y<=1
a.Find the marginal densities of X and Y. .
b.By integrating over the appropriate regions, find:
i)P(X>Y)
ii)P(X+Y)<=1
iii)P(x>=1/2)
For this one, I got the answer for part(i). That is 1-P(X<=Y).
but even for that, why do we take limits for the double integration as 0 to 1 and then x to 2?
Actually you just direct translate the inequality..
If you wish, you can draw the region in the unit square as well.
i)
ii)
iii)
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