Problem 4: A large firm uses three different types (A, B, and C) ofraw materials to manufacture its product. Previous records showthat 25% of the manufactured products are produced using materialA, 50% using material B, and 25% using material C. If it is knownthat 5% of the product made with material A are defective, 2% madewith material B are defective, and 5% made with C aredefective.
What is the probability that a product selected at random from thisfirm will be defective?
If a product selected at random from this firm is found to bedefective, what is the probability that it was made from materialA.
