A 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.   a)Determine fxy(X=4,Y=3). b)Determine fxy(X=3,Y=4). c)Determine fxy(X=4,Y=4). d)Determine fxy(X=4)

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A 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.

 

a)Determine fxy(X=4,Y=3).

b)Determine fxy(X=3,Y=4).

c)Determine fxy(X=4,Y=4).

d)Determine fxy(X=4)

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