Refer to the results of the 2015 North American Hotel Guest Satisfaction Index Study, Exercise 4.49 (p. 215). Recall that 15% of hotel guests were "delighted" with their experience (giving a rating of 10 out of 10); of these guests, 80% stated they would "definitely" recommend the hotel. In a random sample of 100 hotel guests, find the probability that fewer than 10 were delighted with their stay and would recommend the hotel.