Answered: . What proportion of trucks can be…

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 trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 80 thousand miles and a standard deviation of 11 thousand miles.

a. What proportion of trucks can be expected to travel between

67 and 80 thousand miles in a year?

The proportion of trucks that can be expected to travel between 67 and 80 thousand miles in a year is 0.38140.3814.

b. What percentage of trucks can be expected to travel either less than

70 or more than 95 thousand miles in a year?

The percentage of trucks that can be expected to travel either less than

70 or more than 95 thousand miles in a year is 26.8026.80%.

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 72,58172,581 miles.

d. What are your answers to parts (a) through (c) if the standard deviation is 9 thousand miles?

If the standard deviation is 9 thousand miles, the proportion of trucks that can be expected to travel between 67 and 80 thousand miles in a year is ___________.

(Round to four decimal places as needed.)

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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