A retailer receives 70% of its batteries from Factory A and 30% from Factory B. The percentages
Question:
A retailer receives 70% of its batteries from Factory A and 30% from Factory B.
The percentages of defectives produced by A and B are known to be 3% and 5%, respectively. A customer has just bought a battery randomly from the retailer.
(a) What is the probability that the battery is defective?
(b) If a battery is defective, what is the probability that it came from Factory A?
(Hint: Use Bayes’ theorem in Problem 14-12.)
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