In the Autumn, appropriately called “Fall,” is leaf-raking time. My son wants to earn money to buy “pipes” for his car, costing $500. On average, 600 pounds of leaves fall from the trees in my yard each year, with a standard deviation of 60, in approximately a normal distribution (I made all that up – I have never weighed the leaves I rake). If I pay him $1.00 per pound, what is the probability that he will earn enough to buy the pipes? What is a 90% confidence interval for how much I will pay him? *PLEASE SHOW ALL WORK*