6. (i) 50(x + y)2 -32(x - y)2
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A national trend predicts that women will account for half of all business travellers in the next 3 years. To attract these women business travellers, hotels are providing more amenities that women particularly like. A recent survey of American hotels found that 70% offer hairdryers in the bathrooms. Consider a random and independent sample of 20 hotels. Find the probability that at least 9 of the hotels in the sample do not offer hairdryers in the bathrooms.
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