dolution

in-line stages. The probability of defective components being produced in stage 1 is 15 percent and 10 percent in stage 2. Assembled units that have defective components only from stage 1 OR only from stage 2 are considered repairable. However, items that have defective components from both stage 1 and stage 2 (completely defective) must be scrapped.

a. Use a probability tree diagram and calculate the probabilities that the Fab First assembled units are (i) defective in stage 1 and defective in stage 2 (are completely defective); (ii) defective in stage 1 and are not defective in stage 2 (called Repairable I); (iii) not defective in stage 1 but are defective in stage 2 (called Repairable II); and (iv) not defective in stage 1 and are not defective in stage 2 (completely good). What is the probability of producing repairable assembled units?

b. Explain the results in terms of the multiplication and the addition rules for probability