manufacturing company employs two devices to inspect output for quality control purposes. The first device can accurately detect 99.2% of the defective items it receives, whereas the second is able to do so in 99.5% of the cases. Assume that five defective items are produced and sent out for inspection. Let X and Y denote the number of items that will be identified as

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter4: Factors, Fractions, And Exponents
Section4.6: Negative And Zero Exponents
Problem 2E
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A manufacturing company employs two devices to inspect output for quality control
purposes. The first device can accurately detect 99.2% of the defective items it receives, whereas
the second is able to do so in 99.5% of the cases. Assume that five 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.
Find:

a. f Y|2(y)

 

b. E(Y│X=2)= and V(Y│X=2)=  

 

 

 

Y
fyi2(y)
1
2.
3
Transcribed Image Text:Y fyi2(y) 1 2. 3
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