Suppose that the mean fuel consumption per 100km traveled around the city by car is 11.5 litres. Assume the distribution of fuel consumption has a standard deviation of 3 litres. Stating any assumptions that you make, find the probability that the mean fuel consumption of a group of 36 cars is: (a) more than 12 litres per 100km, (b) less than 10.5 litres per 100 km, (c) less than 12.5 litres per 100km, and (d) between 10 and 12 litres per 100km.