8th-ed Chapter 06, Advanced Exercises, Problem 096 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 0 and a standard deviation of 3.69 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 55 miles per hour or slower will be cited for speeding? Round your answer to four decimal places. The probability that a car travelling at 55 miles per hour or slower will be cited for speeding is 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 55 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 miles per hour.
8th-ed Chapter 06, Advanced Exercises, Problem 096 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 0 and a standard deviation of 3.69 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 55 miles per hour or slower will be cited for speeding? Round your answer to four decimal places. The probability that a car travelling at 55 miles per hour or slower will be cited for speeding is 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 55 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 miles per hour.
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
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Transcribed Image Text:8th-ed Chapter 06, Advanced Exercises, Problem 096
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 0 and a standard deviation of 3.69 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 55 miles per hour or slower will be cited for speeding?
Round your answer to four decimal places.
The probability that a car travelling at 55 miles per hour or slower will be cited for speeding is
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 55 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
miles per hour.
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