Answered: A police radar gun is used to measure…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A police radar gun is used to measure the speeds on a highway. The speeds are normally distributed
with a mean of 62 mi/hr and a standard deviation of 12 mi/hr.

(a) Draw the appropriate shaded region of the normal distribution. Find the probability that a randomly
selected car is driving at a speed between 60 mi/hr and 70 mi/hr?

b) Find the speed at the 95th percentile.

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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