The speeds (km/h) of cars travelling through a certain town on the Accra-Aflao highway are assumed to be normally distributed with mean 55 and standard deviation of 8. The speed limit is 50km/h a) What proportion of drivers are exceeding the speed limit? b) A police officer stationed on the road is required to arrest only the fastest 10% of Cars. How fast must a driver go to be arrested? c) Under the assumption in (b), find the probability that out of the next 150 cars, at most 10 will be arrested