The joint probability density function of two continuous random variables X and Y is 0 < y < 2√(4 - y) f(x, y) = 6, otherwise. Find the value of c and the correlation of X and Y.
Added by Miguel -Ngel G.
Step 1
That is, ∫∫fxx(x,y)dxdy = 1 We can split the integral into two parts, one for y < x/2 and one for y > x/2. This is because the function is only defined for y < 2x and x < 4-y. So we have: ∫0^2y ∫0^2x/2 fxx(x,y)dxdy + ∫0^2 ∫2y^4-y fxx(x,y)dxdy = 1 Evaluating Show more…
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