Answered: A trucking company determined that 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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Please help with part D, thanks!

A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation of 12 thousand miles.

a. What proportion of trucks can be expected to travel between 16 and 30 thousand miles in a year?

The proportion of trucks that can be expected to travel between 16 and 30
thousand miles in a year is 0.3784

b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year?

The percentage of trucks that can be expected to travel either less than 20
or more than 50 thousand miles in a year is 25.02%

c. How many miles will be traveled by at least 75% of the trucks?

The number of miles that will be traveled by at least 75% of the trucks is 21,906 miles.

d. What are your answers to parts (a) through (c) if the standard deviation is 10 thousand miles?

If the standard deviation is 10 thousand miles, the proportion of trucks that can be expected to travel between 16 and 30 thousand miles in a year is ???

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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