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 3.72 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 61 miles per hour. What is the probability that a car travelling at 53 miles per hour or slower will be cited for speeding? Round your answer to four decimal places. The probability that a car travelling at 53 miles per hour or slower will be cited for speeding is i 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 53 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.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 3.72 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 61
miles per hour. What is the probability that a car travelling at 53 miles per hour or slower will be cited for speeding?
Round your answer to four decimal places.
The probability that a car travelling at 53 miles per hour or slower will be cited for speeding is i
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 53 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.
Transcribed Image Text: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 3.72 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 61 miles per hour. What is the probability that a car travelling at 53 miles per hour or slower will be cited for speeding? Round your answer to four decimal places. The probability that a car travelling at 53 miles per hour or slower will be cited for speeding is i 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 53 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.
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