Answer to Question #70480 in Statistics and Probability for jenny

Question

A batch of 10 products comes randomly from three factories A, B and C. This batch is checked to detect the defective products. The defective rates of three factories A, B and C are 5%, 10% and 15% respectively
a. Determine the probability that there are exactly two defective products
b. Given that this batch has two defectives, what is the probability that it comes from factory B
c. If there are two batches come from the same factory and first one has exactly two defective items, what is the probability that the second one has two defectives?