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A company producing metal casings has three manufacturing plants producing 50, 30, and 20 percent of...

A company producing metal casings has three manufacturing plants producing 50, 30, and 20 percent of its product, respectively. Suppose that the probabilities that a casing manufactured by these plants is defective are 0.02, 0.05, and 0.01, respectively.

a. If a casing is selected at random, what is the probability that it is defective?

b. If a casing selected at random is found to be defective, what is the probability that it was manufactured by plant 2?

c. Implement a MATLAB simulator to verify your answers.

Math   Statistics-And-Probability   
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