If X and Y have the joint pdf

then find

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- December 15th 2010, 06:09 AMwik_chick88X and Y joint pdf probability question
If X and Y have the joint pdf

then find - December 15th 2010, 01:14 PMmr fantastic
- December 15th 2010, 08:14 PMwik_chick88
i havent ever done a joint pdf question where the probability has the "given y = ..." in it!

- December 15th 2010, 09:39 PMmr fantastic
- December 16th 2010, 10:34 PMmatheagle
find the conditional density of X given Y

First you must find the marginal of Y and divide the joint density by that marginal

When you finally have the conditional density, plug in your value for y and integrate x over the region.

HOWEVER, since the joint density is uniform over the triangle it will be uniform over the line y=.75

since you want 0<x<.5 the answer should be 2/3 which is two-thirds of that line.

DRAW the region and you will see how obvious this is.