Answered: A police speed camera is set up to…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A police speed camera is set up to monitor vehicles on a stretch of road with a speed limit of 40 km/h. Long-term records for this location show that speeds follow a normal distribution with a mean of 48 km/h, and a standard deviation of 6 km/h. The speed camera will automatically ticket all drivers who exceed the limit by more than 10%. What percent of drivers will receive a ticket?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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