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Mobile phone batteries are produced by two machines. Machine A produced 60% of the daily output and machine B produces 40%. it is found by

Mobile phone batteries are produced by two machines. Machine A produced 60% of the daily output and machine B produces 40%. it is found by testing that on average 2% of batteries produced by machine A are faulty and 1% of batteries produced by machine B are faulty.

a ) Find the probability that a batter is faulty based on selecting any battery randomly

b) A battery is selected at random and found to be faulty. Find the probability that it is was produced by Machine A

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