Question: After a spate of accidents in front of an elementary school, county officials ran a small traffic study which found that car speeds were normally distributed with a mean of 35mph and a standard deviation of 10mph. The posted speed limit in front of the school is 25mph. The officials then installed a speed camera. Any car traveling more than L mph will be flagged and ticketed.

1. What should be the value of L such that the fastest 10% of drivers are ticketed?
2. The common approach for speed cameras is to set the limit L at 10mph higher than the posted speed limit. If this is done, what percentage of drivers would receive tickets?
3. What percentage of drivers are driving below the posted speed limit?

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