Answer Happy

(i) Find the average number of rooms that do not meet the
standard.
(ii) Calculate the probability that the hotel management will
get a fine.
An inspection officer is going to inspect the cleanliness of the rooms in a hotel. The hotel has 100 rooms but only 95 rooms are up to cleanliness standard. The inspection officer will randomly choose 10 rooms for inspection. If more than one room do not meet the standard, the hotel management will get a fine. (i) Find the average number of rooms that do not meet the standard. (3 marks) (ii) Calculate the probability that the hotel management will get a fine. (5 marks)