Probability of Defective Production by Type

A company has three types of products: Type X, Type Y, and Type Z. In a recent production cycle, 60% of the products produced were Type X, 25% were Type Y, and 15% were Type Z. The company received complaints about defective products, where 2% of Type X, 3% of Type Y, and 1% of Type Z were reported as defective.

If a randomly selected product is found to be defective, what is the probability that it is a Type Y product? Use Bayes' Theorem to determine your answer.