Question

Three machines turn out all the products in a factory, with the first machine producing 35% of the products, the second machine 30%, and the third machine 35%. the first machine produces defective products 14% of the time, the second machine 9% of the time and the third machine 5% of the time. what is the probability that a non-defective product came from the second machine? (round your answer to four decimal places.)

Answer 1

The probability of a non-defective product coming from the second machine is 0.2730.

Step-by-step explanation:

To find the probability that a non-defective product came from the second machine, we need to consider the overall probability of selecting a product from each machine. The second machine produces 30% of the products, and the probability of a non-defective product from the second machine is 91% (100% - 9%).

Therefore, the probability that a non-defective product came from the second machine is the product of these two probabilities: 0.30 * 0.91 = 0.2730.

Rounding to four decimal places, the probability is 0.2730.