Suppose a company sells three products, with various levels of component quality. Suppose product A is manufactured with the highest quality components. The product will work without issue 95% of the time, but 4% of the time it requires warranty work, and 1% of the time it requires replacement. Product B's components are of somewhat lesser quality. For product B, warranty work is required 10% of the time and replacement is required 5% of the time. Product C's components are of rather low quality. Warranty work is required 30% of the time and replacement is required 10% of the time. An overall breakdown of the company's product sales would be as follows: Product Percentage of sales A 30 B 20 C 50 a) Construct nature's tree for this problem. b) Construct the reversed tree for this problem. c) Suppose an item has had no issues. What is the probability that it is a product C