Question 3: The mean lifetime of the engine of a particular car is 250,000 km with a standard deviation of 50,000 km. (3 marks each) a) What is the probability that an engine will last more than 375,000 km? b) What is the probability that an engine will last less than 125,000 km? c) What is the probability that an engine will last in between 375,000 km and 125,000 km? d) A warranty lasts up to 125,000 km. If the manufacture sells 50,000 cars with this warranty and an engine replacement costs $2,500, what is the expected warranty cost using this model?