According to the results of a survey conducted by a reputable hotel research​ organization, 25​ of hotel guests were​ "delighted" with their​ experience; 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 17 were delighted with their stay and would recommend the hotel. The probability is _______ (round to four decimal places as needed)

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