Question

A factory has in it four machines, A, B, C, and D that produce Smart Pencils....

A factory has in it four machines, A, B, C, and D that produce Smart Pencils.

Machine A produces 40% of the factory's output with a 6% defective rate.

Machine B produces 30% of the factory's output with a 5% defective rate.

Machine C produces 20% of the factory's output with a 4% defective rate.

Machine D produces 10% of the factory's output with a 3% defective rate.

A pencil is selected at random and found to be defective. What is the probability it was produced by Machine D?

Write this probability as a 2-place decimal.

(Hint: Your computation should give you a number with exactly 2 decimal places. If this problem had asked for the probability that the defective pencil came from Machine A, the correct answer would have been the 2-decimal place number 0.48.)

Math   Statistics-And-Probability   
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