Answered: The monthly income of residents of a…

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

number 25

The monthly income of residents of a certain city is normally distributed with a mean of $4,500 and a standard deviation of $500. (You may need to use the appropriate appendix table or technology to answer this question.)

(a)

The mayor of Daisy City makes $3,750 a month. What percentage of Daisy City's residents has incomes that are more than the mayor's? (Round your answer to two decimal places.)

(b)

Individuals with incomes of less than $3,480 per month are exempt from city taxes. What percentage of residents is exempt from city taxes? (Round your answer to two decimal places.)

(c)

What are the minimum and the maximum incomes (in dollars) of the middle 95% of the residents? (Round your answers to the nearest integer.)

minimum$ maximum$

(d)

189 residents have incomes of at least $5,935 per month. What is the population of Daisy City? (Round your answer to the nearest integer.)

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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