A national trend predicts that women will account for half of all business travelers in the next 3 years. To attract these women business travelers, hotels are providing more amenities that women particularly like. A recent survey of American hotels found that 60% offer hairdryers in the bathrooms. Consider a random and independent sample of 15 hotels.

1.Find the probability that at least 9 of the hotels in the sampledo notoffer hairdryers in the bathrooms.

2.Find the probability that more than 6 but less than 14 of the hotels in the sample offered hairdryers in the bathrooms.