Assignment:
Zemansky’s sells tires with a pro rata warranty. The tires are warranted to deliver 50,000 miles with the rebate based on the remaining tread on the tire. The tires fail on the average after 35,000 miles of wear. Suppose the tires sell for $50 each with the warranty. If failures occur completely at random, what would be a consistent price for the tires if no warranty were offered?
Provide complete and step by step solution for the question and show calculations and use formulas.