Question 19 10 pts Restaurant with a big deck In the summer, you open a big deck out back. When the deck is open, net revenue during dinner (X) ranges from 100 to 500 and net revenue during lunch (Y) ranges from 100 to 400. (X and Y are independent and jointly distributed uniform random variables.) However, the larger scale of operations means that on a summer day, you need 400 per day to pay your workers, as well as 100 for other operating costs (costs are 500). What is the probability that (on any given day during the summer) total net revenue is at least enough to pay your workers and to cover other operating expenses? Four decimals HINT: Now the pdf is different because the set of possible pairs of values of X and Y is different. Find the new pdf (the new \"floor" and the new "height"}. Then follow the same process as you did previously (keeping in mind that the equation of the line for \"total net revenue equals what you need to pay your workers and cover other operating expenses" is now a different line). This is the rst of 3 questions in this set. Question 20 5 pts Let's check whether opening the deck increases expected protability. What is expected prot per day in the summer? Two decimals