There were ten red bottles sitting on the wall. The probability of a red bottle accidentally falling is 0.95. What is the probability that fewer than 8 of the green bottles accidentally fall?
The probability of fewer than 8 red bottles falling from the wall is calculated using a binomial distribution formula. Binomial distributions are used to determine the probability of success for an experiment with two outcomes (in this case, falling or not falling). The formula for calculating the probability of fewer than 8 red bottles accidentally falling is P = Σ[x=0 to 7] (C(n, x) * p^x*(1-p)^n-x), where n is equal to 10 and p is equal to 0.95.
Using this formula, the probability of fewer than 8 green bottles accidentally falling comes out to be 0.4096. This means that there is a 40.96% chance that fewer than 8 green bottles will fall off the wall due to an accident.
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