A state highway goes through a small town where the posted speed limit
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A state highway goes through a small town where the posted speed limit drops down to 40MPH, but which out of town drivers don’t observe very carefully. Based on historical data, it is known that passenger car speeds going through the city are normally distributed with a mean of 47 mph and a standard deviation of 4MPH. Truck speeds are found to be normally distributed with a mean of 45MPH and a standard deviation of 6MPH. The town installed a speed camera and wants to set a threshold for triggering the camera to issue citations. If the camera is triggered, the driver is mailed a flat $50 ticket for cars and a flat $75 for trucks. On average 100 cars and 25 trucks go through the city in a day.
a. If the town sets the camera triggering speed at 50MPH, how much revenue will it make in a month (assume a month has 30 days)
b. The town wants to set the triggering speed at a value such that the fastest 10% of truck drivers get ticketed. At what value should they set the trigger?
c. At this trigger value, what percentage of cars are ticketed and what is the monthly revenue for the city?
[Solved] A state highway goes through a small town where the posted speed limit
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- Submitted On 10 Jul, 2020 07:33:45
- Beam777
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A state highway goes through a small town where the posted speed limit
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