Aforeman for an injection-molding firm admits that on 26% of his shifts, he forgets to shut off the injection machine on his line. this causes the machine to overheat, increasing the proba- bility that a defective molding will be produced during the early morning run from 3% to 25%. if a molding is randomly selected from the early morning run of a random day, what is the probability that it is defective?

0.0872 or 8.72%

Step-by-step explanation:

The probability of a random molding being defective is given by the probability of the foreman remembering to shut off the injection machine (74%) multiplied by the probability of defects (3%), added to the probability of the foreman forgetting to shut off the injection machine (26%) multiplied by the probability of defects in this scenario (25%):

The probability that a randomly selected molding is defective is 0.0872 or 8.72%