I'm have a lot of trouble trying to wrap my head around how exactly to use the central limit theorem in this question.
Image a gambling casino consisting of 100 busy roulette tables. Suppose that each table brings in an average hourly profit of $50 with a standard deviation of 25.
(a) What is the average hourly profit that the entire casino brings in? What is the standard deviation?
(b) Find the probability that the casino will make a profit less than $4500 on any given hour.
I know in this situation I am supposed to CLT to figure out the average profit, but I don't understand how to use the CLT on a continuous case like this.