Answered: During one season of racing at the…

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

During one season of racing at the Talladega Superspeedway, the mean speed of the cars racing there was found to be 158.900 mph with a standard deviation of 6.700 mph. What speed represents the 30^th percentile for speeds of race cars at Talladega? Assume that the racing speeds are normally distributed. Use the cumulative normal distribution table to solve this problem. Enter the exact value for your answer.

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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