Two RVs X & Y have the jiont density: f(x,y)=a, x^2+y^2<=1
Find the constant a.
>>> HOW CAN I SOLVE THIS ???can i say that z=x^2+y^2
can u plz explain for me how to put the limits, should i put each in terms of the other???
You are confusing yourself by thinking this is a complicated problem.
The probablity density is just a constant, so this is a simple, uniform distribution over a region of the (x,y) plane. The equation x^2 + y^2 <= 1 is just defining that region. Just figure out what the region looks like.
There is no calculus involved here. There is no math beyond elementary school.
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