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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON