suppose X and Y have the joint pdf

$\displaystyle

f_{X, Y} = x + y, 0 < x, y < 1

$

Find P(X < 2Y)

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- Nov 12th 2010, 01:32 PMwik_chick88joint pdf probability
suppose X and Y have the joint pdf

$\displaystyle

f_{X, Y} = x + y, 0 < x, y < 1

$

Find P(X < 2Y) - Nov 12th 2010, 05:21 PMmr fantastic
- Nov 13th 2010, 07:50 AMmatheagle
Right, but X cannot exceed 1, with any probability, so the imposter must draw the line in the unit square.

I'd switch the order of integration...

$\displaystyle 1-\int_0^1\int_0^{x/2} (x+y)dydx$ - Nov 13th 2010, 12:01 PMmr fantastic
- Nov 13th 2010, 02:48 PMmatheagle
thats why I'm the math beagle

- Nov 27th 2010, 11:21 PMwik_chick88
the final answer i got is $\displaystyle \frac{19}{24}$ is this correct? thanks so much!