In: Advanced Math
Speeding on the I-5. Suppose the distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 73.8 miles/hour and a standard deviation of 4.96 miles/hour. Round all answers to four decimal places.
What proportion of passenger vehicles travel slower than 64 miles/hour?
What proportion of passenger vehicles travel between 63 and 70 miles/hour?
How fast do the fastest 10% of passenger vehicles travel?
Suppose the speed limit on this stretch of the I-5 is 75 miles/hour. Approximately what proportion of the passenger vehicles travel above the speed limit on this stretch of the I-5?