The monthly income of residents of Daisy City is normally distributed with a mean of $3,000 and a standard deviation of $500.
a. Define the random variable in words.
b. 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?
c. Individuals with incomes of less than $1,985 per month are exempt from city taxes. What percentage of residents is exempt from city taxes?
d. What are the minimum and maximum incomes of the middle 95% of the residents?
e. Two hundred residents have incomes of at least $4,440 per month. What is the population of Daisy City?
a. monthly income of residents of Daisy City
b. 93.32%
c. 2.12%
d. minimum = $2,020; maximum = $3,980
e. 100,000
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