Discuss the following:
The monthly income of residents of Dayton is normally distributed with a mean of $3000 and a standard deviation of $500.
Q1: Define the random variable in words.
Q2: The mayor of Dayton makes $2,250 a month. What percentage of Dayton residents has incomes that are more than the mayor's?
Q3: Individuals with incomes of less than $1,985 per month are exempt from city taxes. What percentage of residents is exempt from city taxes?
Q4: What are the minimum and the maximum incomes of the middle 95% of the residents?
Q5: Two hundred residents have incomes of at least $4,440 per month. What is the population of Dayton?