Suppose the JPDF of X, Y is f(x,y)={1K(x2+y2)0
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Suppose the JPDF of X, Y is
f(x,y)={1K(x2+y2)0<x<2,0<y<20otherwisef(x,y)={1K(x2+y2)0<x<2,0<y<20otherwise
Find K so that fXY(x,y)fXY(x,y) is a valid JPDF
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- Compute ƒxz and ƒzz for ƒ(x, y, z) = xyz - x2 z + yz2.Expand x^2y+3y-4 about the point (-1,2) by Taylor's theoremA manufacturing company employs two devices to inspect output for quality control purposes. The first device is able to accurately detect 99.3% of the defective items it receives, whereas the second is able to do so in 99.7% of the cases. Assume that four defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as defective by inspecting devices 1 and 2, respectively. Assume that the devices are independent. Determine fxy(X=3,Y=4).