A manufacturing company employs two inspecting devices to sample a fraction of their output for quality control purposes. The first inspection monitor is able to accurately detect 99.1% of the defective items it receives, whereas the second is able to do so in 99.9% 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 the devices are independent. Determine the following. Round your answers to three decimal places (e.g. 98.765). (c) E(X) = i (e) E(Y|X = 2) = i Round your answers to four decimal places (e.g. 98.7655). (f) V (Y | X = 2) = i

MATLAB: An Introduction with Applications
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A manufacturing company employs two inspecting devices to sample a fraction of their output for quality
control purposes. The first inspection monitor is able to accurately detect 99.1% of the defective items it
receives, whereas the second is able to do so in 99.9% 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 the devices are independent. Determine the
following. Round your answers to three decimal places (e.g. 98.765).
(c) E(X) = i
(e) E (Y | X= 2) = i
Round your answers to four decimal places (e.g. 98.7655).
(f) V (Y | X = 2) = i
Transcribed Image Text:A manufacturing company employs two inspecting devices to sample a fraction of their output for quality control purposes. The first inspection monitor is able to accurately detect 99.1% of the defective items it receives, whereas the second is able to do so in 99.9% 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 the devices are independent. Determine the following. Round your answers to three decimal places (e.g. 98.765). (c) E(X) = i (e) E (Y | X= 2) = i Round your answers to four decimal places (e.g. 98.7655). (f) V (Y | X = 2) = i
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