Answered: Moore Reno, an officer in the highway…

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

Moore Reno, an officer in the highway patrol group, observed that the speeds of vehicles on a particular stretch of a specific highway are normally distributed with mean 90 kph and standard deviation of 50 kph. Find the probability that the mean speed of 25 randomly selected vehicles is between 75 and 100 kph. Use CLT.

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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