The police department of a major city needs to update its budget. For this purpose, they need to understand the variation in their fines collected from mo- torists for speeding. As a sample, they recorded the speeds of cars driving past a location with a 20 mph speed limit, a place that in the past has been known for producing fines. The mean of 100 readings was 23.84 mph, with a standard deviation of 3.56 mph. (The police actually recorded every car for a two-month period. These are 100 representative readings.)
a) How many standard deviations from the mean would a car going the speed limit be?
b) Which would be more unusual, a car traveling 34 mph or one going 10 mph?