The monthly income of residents of Daisy City is normally distributed with a mean of $3000 and a standard deviation of $500. a. The mayor of Daisy City makes $2,250 a month. What percentage of Daisy City's residents has incomes that are more than the mayor's? b. Individuals with incomes of less than $1,985 per month are exempt from city taxes. What percentage of residents is exempt from city taxes? c. What are the minimum and the maximum incomes of the middle 95% of the residents?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The monthly income of residents of Daisy City is normally
distributed with a mean of $3000 and a standard deviation of $500.
a. The mayor of Daisy City makes $2,250 a month. What percentage
of Daisy City's residents has incomes that are more than the
mayor's?
b. Individuals with incomes of less than $1,985 per month are
exempt from city taxes. What percentage of residents is
exempt from city taxes?
c. What are the minimum and the maximum incomes of the middle 95% of the
residents?
d. Two hundred residents have incomes of at least $4,440 per
month. What is the population of Daisy City?

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