A hotel gives 10 free movie tickets to visitors every day. Historically 80% of free tickets are taken in any given day. a. What is the probability that 6 free tickets are taken by visitors in a random day? b. If each visitor who has a free movie ticket, pays $10 to buy popcorn and pepsi, find the expected dollar amount that they spend on popcorn and pepsi.
c. If 40% of visitors who have free movie ticket dine-in in the hotel, find the probability that 6 free movie tickets are taken and four of those with free movie tickets dine-in in the hotel.