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A highway study of 8,000 vehicles that passed by a checkpoint found that their speeds were...

A highway study of 8,000 vehicles that passed by a checkpoint found that their speeds were normally distributed, with a mean of 100 Km/h and a standard deviation of 10 Km/h. Using the Empirical rule determine the percent of the vehicles had a speed between 70 and 100 km/h?

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Answer #1

We have speeds are normally distributed with mean \mu = 100 km/h and standard deviation \sigma = 10km/h

Using empirical rule

Percentage of vehicles had a speed between \mu - 3*\sigma = 70 to \mu = 100 is 49.85%

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