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In a factory, machine X produces 66 % of the daily output, machine Y produces 11...

In a factory, machine X produces 66 % of the daily output, machine Y produces 11 % of the daily output and machine Z produces 23 % of the daily output. It is known that 9 % of machine X's output is defective, 8 % of machine Y's output is defective and 7 % of machine Z's output is defective. One day, an item was inspected at random and found to be defective.

1. What is the probability that it was produced by machine Z?
Answer:

2. What is the probability that it was produced by machine Y?
Answer:

For each of the above questions, express any probability value as a fraction or a decimal with 10 decimal places.

Math   Statistics-And-Probability   
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