A foreman for an injection-molding firm admits that on 9% of his shifts, he forgets to shut off the injection machine on his line. This causes the machine to overheat, increasing the probability that a defective molding will be produced during the early morning run from 1% to 19%.
Let F = forgets to shut off the injection machine and D = defective.Use a probability tree to answer the following questions:(Round all answers to four decimals)a) Whatâs the probability a molding from the early morning run is defective?b) The plant manager randomly selects a molding from the early morning run and discovers it is defective. What is the probability that the foreman forgot to shut off the machine the previous night?