A5. Analysis of three-year-old cars that have the same engine size has shown that the miles per gallon (MPG) achieved by such cars when travelling at a constant speed of50 miles per hour follows a normal distribution with mean 37 MPG and standard deviation 2.55 MPG. (a) What is the probability that a randomly selected car of this age and engine size has a MPG less than 35? (b) What is the probability that a randomly selected car of this age and engine size has a MPG greater than 35 and less than 40? (c) What value of MPG would only 5% of cars this age and engine exceed?