please help this is statistics homework and I'm not sure how to calculate the answer for this chapter homework problem...........

Question 8 --/1 The highway police in a certain state are using aerial surveillance to control speeding on a highway with a posted speed limit of 55 miles per hour. Police officers watch cars from helicopters above a straight segment of this highway that has large marks painted on the pavement at 1-mile intervals. After the police officers observe how long a car takes to cover the mile, a computer estimates that cars speed. Assume that the errors of these estimates are normally distributed with a mean of O and a standard deviation of 3.34 miles per hour. a. The state police chief has directed his officers not to issue a speeding citation unless the aerial units estimate of speed is at least 64 miles per hour. What is the probability that a car travelling at 58 miles per hour or slower will be cited for speeding? Round your answer to four decimal places. The tolerance is + 2%. The probability that a car travelling at 58 miles per hour or slower will be cited for speeding is IM b. Suppose the chief does not want his officers to cite a car for speeding unless they are 99% sure that it is travelling at 58 miles per hour or faster. What is the minimum estimate of speed at which a car should be cited for speeding? Round your answer to the nearest integer. The minimum estimate of speed is i miles per hour. Hint Question e Textbook and Media 15 5 S W3 X