A factory has in it five machines, A, B, C, D, and E thatproduce Smart Pencils.
Machine A produces 5 % of the factory's output with a 2 %defective rate.
Machine B produces 10 % of the factory's output with a 3 %defective rate.
Machine C produces 25 % of the factory's output with a 4 %defective rate.
Machine D produces 3 0% of the factory's output with a 5 %defective rate.
Machine E produces 3 0% of the factory's output with a 6 %defective rate.
1.
A pencil is selected at random and found to be defective. Whatis the probability it was produced by Machine A?
2.
A pencil is selected at random and found to be defective.
What is the probability it was produced by Machine A or E?
