3.12 Speeding on the I-5, Part I:  The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 72.6 miles/hour and a standard deviation of 4.78 miles/hour.


(a) What percent of passenger vehicles travel slower than 80 miles/hour?
% (please round to two decimal places)
(b) What percent of passenger vehicles travel between 60 and 80 miles/hour?
% (please round to two decimal places)
(c) How fast do the fastest 5% of passenger vehicles travel?
mph (please round to two decimal places)
(d) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.
% (please round to two decimal places)