A small regional carrier accepted 21 reservations for a particular flight with 20 seats. 18 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 57% chance, independently of each other. Hint: Use the binomial distribution with p = 0.57. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs. Find the probability that the flight has empty seats.

Every day there is a 65% chance Ted will run. What is the probability he will run at least 10 times over the next 20 days? (round to the nearest thousandth)

The chance of an email being spam is 44%. If you receive 33 emails in a single day, find the probability that exactly 14 of them are spam. Round to the nearest tenth of a percent (1 decimal place percent).

While gathering eggs one day, Lisa has 15 eggs when Liana has 20 eggs at the moment when they started throwing them at each other. If 10% of the eggs are rotten, use the Binomial Distribution to calculate the probability that Lisa was hit by 3 or fewer rotten eggs from Liana.