5. A tire manufacturer oers to fix flats at no cost to the customer during the advertised life of a tire. The manufacturer sells a tire X that has an advertised life of 60,000 miles. Assume that flats occur only when a tire runs over sharp metallic objects (screws, nails, etc.) on the road. The manufacturer has been selling tire X for a long time and the accumulated warranty repairs data shows that on average the manufacturer ends up fixing 1.9 flats per tire.

(a) What random variable best describes the number of flats a tire will have?

(b) What parameter(s) describe the random variable? What is (are) the value(s) of the parameter(s)?

(c) Using the manufacturers warranty repairs data estimate the probability that your tirewhich may or may not be produced by the manufacturerwill have a flat within the next 100 miles you drive. Explain your answer. Clarify the assumptions under- lying your estimate.