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Answer to this question using the 68-95-99.7 rule

Mathematics
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Suppose the mean speed is 60mph with a standard deviation of 5mph. What is the speed of 68% of the cars, 95% of the cars and 99.7% of the cars.  Show a symmetrical bell-shaped distribution in the answer and show all work.

Feb 21st, 2015

mu -1 sigma to mu+1 sigma

Speed of the car for 68% is 60-5 =55 to 60+5 =65 mph

mu -2 sigma to mu+2 sigma

Speed of the car for 95% is 60-2*5 =50 to 60+2*5 =70 mph

mu -3 sigma to mu+3 sigma

Speed of the car for 99.7% is 60-3*5 =45 to 60+3*5 =750 mph



Feb 21st, 2015

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