A hotel guest satisfaction study revealed that 31% of hotel guests experienced better-than-expected quality of sleep at the hotel. Among these guests, 77% stated they would "definitely" retum to that hotel brand. In a random sample of 14 hotel guests, consider the number (x) of guests who experienced better-than-expected quality of sleep and would retum to that hotel brand.
Assume P = 0.24. Find the probability that at least 9 of the 14 hotel guests experienced a better-than-expected quality of sleep and would return to that hotel brand.
The probability is __________.
