ii . How man kilometres r litre for the most efficient i.e. hi best 2.5% of cars? ( ) 3! pt g (2. 5 marks) Question 1 [2.5 + 2.5 + 2 = 7 Marks] a) Fuel economy estimates for cars built in one particular year predicted a mean of 12.2 km per litre of fuel and a standard deviation of 2.25 km per litre of fuel for highway driving. Assuming that the mean is approximately normally distributed, use the 68 - 95 - 99.7 rule (empirical rule) to answer the following questions. Give illustration/show your calculations. (i). Approximate the percent of cars that should get less than 5.45 km/litre? (2.5 marks)b) A random sample of 55 cars was taken and the average kilometres covered per litre was calculated. To 4 decimal places, what is the probability that the sample mean kilometres of distance covered is less than 11.5 km/lit? Show all working including the Excel function used. A diagram may also be helpful. (2 marks)