On a particular stretch of highway, the speed limit is 65 mph. Speeds of cars on that stretch have a mean of 71 mph with a standard deviation of 5 mph. a. Would it be unusual to observe a car driving 60 mph or less on this stretch of highway? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. b. If we observe 100 cars along this highway, how many of them do we expect to be obeying the speed limit? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. c. A highway patrol officer pulls a car over for driving 75 mph. The driver argues that he was “going with the flow of traffic” and that the officer is unfairly singling him out for speeding. Does the driver have a point? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. Finally, recall the highway problem: the mean speed on a stretch of highway is 71mph with a standard deviation of 5mph. We all know that slow drivers are often just as dangerous as fast drivers. How slow are the slowest 10% of drivers traveling on this stretch of highway? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
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Chapter1: Starting With Matlab
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On a particular stretch of highway, the speed limit is 65 mph. Speeds of cars on that stretch have a mean of 71 mph with a standard deviation of 5 mph.

a. Would it be unusual to observe a car driving 60 mph or less on this stretch of highway? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution.

b. If we observe 100 cars along this highway, how many of them do we expect to be obeying the speed limit? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution.

c. A highway patrol officer pulls a car over for driving 75 mph. The driver argues that he was “going with the flow of traffic” and that the officer is unfairly singling him out for speeding. Does the driver have a point? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution.

Finally, recall the highway problem: the mean speed on a stretch of highway is 71mph with a standard deviation of 5mph. We all know that slow drivers are often just as dangerous as fast drivers. How slow are the slowest 10% of drivers traveling on this stretch of highway?

Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution.

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