In: Statistics and Probability
A manufacturing operation utilizes three production lines to assemble electronic fuses. All lines produce fuses at the same rate and 20% of fuses are defective. Production lines recently suffered mechanical difficulty and probability of choosing a product from line 1 given defective is 40%, probability of choosing a product from line 2 given defective is 50%, and probability of choosing a product from line 3 given defective is 25%.
What is the probability that a customer buy a non-defective fuse produce by line 2?
What is the probability that a customer buy a fuse produce by line 3?