Question 1 A tire manufacturer believes that the tread life of its snow tires can be described by a Normal model with a mean of 32,000 miles and standard deviation 0 2500 miles. a) If you buy one of these tires, would it be reasonable for you to hope it will last 40, 000 miles? Justify with calculations. b) What percent of these tires can be expected to last between 30,000 and 35,000 miles? c) In planning a marketing strategy, a local tire dealer wants to offer a remd to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big risk. If a dealer is willing to give refunds to not more than 1 of every 25 customers, for what mileage can be guarantee these tires to last? d) What is more unusual, a tire lasting 45,000 miles or one lasting 10,000 miles? Justify with calculations