{"prompt":"To calculate the probability of catching at least three fish a day for 5 out of 10 days, if the probability of catching at least three fish a day is 0.6, you would use a binomial probability formula. In Excel, the formula would be =BINOM.DIST(5, 10, 0.6, FALSE). However, this doesn't account for the 'at least' part of the question. For that, you would need to sum up the probabilities for 5, 6, 7, 8, 9, and 10 successful days. That would look like this in Excel: =BINOM.DIST(5,10,0.6,TRUE)-BINOM.DIST(4,10,0.6,TRUE). The result will be your desired probability.","metadata":{"response_confidence_reason":"The information provided is based on the fundamental understanding of binomial distribution and Excel functions related to it","topic_relation_input_score":9,"keywords":["probability","binomial distribution","Excel","BINOM.DIST"],"common_mistakes":"Common mistakes when dealing with binomial distributions include neglecting to properly understand the difference between exact probabilities (using FALSE a