Question: The monthly income of residents of Daisy City is normally distributed with a mean of $3000 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 the 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?