Traditional Culture Encyclopedia - Weather inquiry - The weather forecast accuracy of a weather station is 80%, and the probability of at least four of the five forecasts is _ _ _ _ (accurate to 0.0 1).
The weather forecast accuracy of a weather station is 80%, and the probability of at least four of the five forecasts is _ _ _ _ (accurate to 0.0 1).
(1) According to the meaning of the question, this is called independent repeated experiment, and the probability of the event is 0.8.
At least four of the five predictions are accurate, including four and five, so the probability is
p = C 45(4 5)4( 1-4 5) 1+C 55(4 5)5≈0.74
So the answer is 0.74.
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