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) Determine E(X) Determine VY|X=2).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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)
Determine E(X)
Determine VY|X=2).
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) Determine E(X) Determine VY|X=2).
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