A radar unit is used to measure speeds of cars on a motorway. The speeds are normally distributed with a mean of 70 miles per hour and a standard deviation of 10. Use this information to answer questions 5-11. 5) Based on the empirical rule, 68% of the data will fall within what interval? 6) Based on the empirical rule, 95% of the data will fall within what interval? 7) Based on the empirical rule, 99.7% of the data will fall within what interval? 8) What percentage of cars will be driving at a speed of 80 miles per hour or faster? 9) What is the probability that a randomly selected car will be driving at a speed less than 55 miles per hour? 10) What proportion of cars are driving between 75 and 85 miles per hour? 11) How fast are the top 5% of cars driving?

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