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Ambell Company uses batteries from two different manufacturers. Historically, 60% of the batteries are from manufacturer 1. The lifetime of batteries from manufacturer 1 is
Ambell Company uses batteries from two different manufacturers. Historically, 60% of the batteries are from manufacturer 1. The lifetime of batteries from manufacturer 1 is exponentially distributed with mean equal to 40 hours. The lifetime of batteries from manufacturer 2 is exponentially distributed with mean equal to 25 hours. A battery in a critical tool has failed within 40 hours of operation. What is the probability it was from manufacturer 2?
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