Question

In a toy manufacturing company three machines A,B and C are employed to manufactures toys. Machines A, B and C manufacture 20%, 30% and 50% of the total toys respectively. A quality control officer examined the machines and found that A,B and C produce 2%, 3% and 5% defectives of the total output. A toy is selected at random and is found to be defective. What are the probabilities that this toy came from machine A, B and C respectively

Answer 1

0.1

Answer 2

I get:
.02(.2) + .03(.3) + .05(.5) = .038