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. Determine fxy(X=4,Y=3). Determine fxy(X-3,Y=4). Determine fxy(X-4,Y=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.
Determine fxy(X=4,Y=3).
Determine fxy(X=3,Y=4).
Determine fxy(X=4,Y=4).
Transcribed Image Text: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. Determine fxy(X=4,Y=3). Determine fxy(X=3,Y=4). Determine fxy(X=4,Y=4).
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