Suppose that the amount of revenue that a food truck makes per day is normally distributed with a mean of $800 and a standard deviation of $175. Calculate the following probabilities

1. the probability that on a single day the food truck makes more than $900 of revenue
2. assuming each day is independent the probability that the food truck makes more than $900 of revenue for 5 days in a row
3. the probability that on 5 randomly selected days the mean revenue that food trucks makes is more than $900