Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.7 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped

(a) What is the probability that maximum speed is at most 50 km/h? (Round your answer to four decimal places.)
(b) What is the probability that maximum speed is at least 47 km/h? (Round your answer to four decimal places.)
(c) What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?