Two altered suppliers, A and B, accommodate architect with the aforementioned part. All food of this allotment are kept in a ample bin. In the past, 5 percent of the locations supplied by A and 9 percent of the locations supplied by B accept been defective. Supplier A food four times as abounding locations as supplier B. Suppose you ability into the bin and baddest a allotment and acquisition it defective. What is the anticipation that it was supplied by A? Answers :Okay, we wish to acquisition out ((5/100)A)/ ((9/100)B)+(5/100)A))). And we apperceive that A=4B or A/4=B. So substitute, ((5/100)A)/((9/400)A) +(5/100)A))) = ((5/100)A)/((29/400)A) = (5/100)(400/29) = 20/29. SO, approximately, 20/29 = .6897.
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