A retailer receives 75% of its batteries from Factory A and 25% from Factory B. The percentages
Question:
A retailer receives 75% of its batteries from Factory A and 25% from Factory B. The percentages of defectives produced by A and B are known to be 1% and 2%, 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?
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