Answered: The monthly utility bills in a certain…

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

The monthly utility bills in a certain city are normally distributed, with a mean of $100 and a standard deviation of $12. A utility bill is randomly selected. Draw a normal curve as part of your work.

a. Find the probability the bill is less than $90.

b. Find the probability the bill is more than $120.

c. What percent of people in this city spend between $75 and $105 on utilities?

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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