Texts: A company has two factories, A and B. Factory A produces 55% of the company's products, while Factory B produces the remaining 45%. Of the products produced by Factory A, 5% are defective, 20% are excellent, and the rest are average. For Factory B, 10% are defective. If 25% of the company’s products are excellent,
a. Find the probability that a random product from Factory B is excellent.
b. Find the probability that a random product is average and produced in Factory B.