I'm trying to learn probability on my own and I'm stuck.(adsbygoogle = window.adsbygoogle || []).push({});

My multiple-variable-calculus is not so strong so the following problem got me stuck.

I have density function

f(x,y) = x^2 + xy/3 for 0<x<1; 0<y<2 otherwise 0

And I need to calculate Prob(X > Y). X and Y are random variables.

I know how to do Prob(X <= 0.5) etc.

Also would be nice if someone could explain Prob(Y < 1/2 and X < 1/2) and

Prob(X+Y < 1)

Thanks

/Niels

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# Probability problem

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