A company receives 30% of its shipments from source A and the rest from source B. For source A, the defective rate is 10% and for source B, the defective rate is 6%. The company just receives a shipment which contains 10 items. Given that the recent shipment has one defective item, determine the probability that it is from source B.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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A company receives 30% of its shipments from source A and the rest from source B. For source A, the defective rate is 10% and for source B, the defective rate is 6%. The company just receives a shipment which contains 10 items. Given that the recent shipment has one defective item, determine the probability that it is from source B. 

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