For each of the following joint pdf, find the marginal pdf of X & Y
f(x,y) = xye^-(x+y) ; x ⥠0, y ⥠0
f(x,y) = ye^-xy-y ; x ⥠0, y ⥠0
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Find the average value of the function f(x,y,z)=ye^(?xy) over the rectangular prism 0?x?1, 0?y?1, 0?z?2
Suppose âf(x, y, z) = 2xyze^(x^2)i + ze^(x^2)j + ye^(x^2)k. If f(0, 0, 0) = 1, find f(1, 1, 2).