The number of vehicles leaving a turnpike at a certain exit during a particular time period has approximately a normal distribution with mean value 500 and standard deviation 75. Determine the probabilities below. (Round your answers to four decimal places.) (a) What is the approximate probability that the number of cars exiting during this period is at least 575? (b) What is the approximate probability that the number of cars exiting during this period is strictly between 450 and 600? (Strictly means that the values 450and 600 are not included.)
(c) What is the approximate probability that the number of cars exiting during this period is between 450 and 600 (inclusive)?