If the hotel takes 200 reservations, what is the chance there will be enough rooms for the people who actually show up?

Question

A hotel has 180 rooms. Past experience shows that only 84% of people who reserve rooms actually show up. If the hotel takes 200 reservations, what is the chance there will be enough rooms for the people who actually show up? (Hint: You want to _nd the chance that, in the sample of 200 reservations, the percentage of those who show up will be 90% (180/200) or less, knowing that true population percentage is 84%.)

Answer 1

.84*200=168

Since 168 appeared there can be too little because people came in from off the road in the mean time.