There are 6 green bottles sitting on a wall . The probability of a green bottle accidentally falling is 0.8What is the probability that fewer than 4 of the green bottles will accidentally fall?
This is a binomial distribution with n=6, p=0.8.
P(X<4)=∑i=03C6i0.8i(1−0.8)6−1=0.0989.P(X<4)=\sum_{i=0}^3C_6^i0.8^i(1-0.8)^{6-1}=0.0989.P(X<4)=∑i=03C6i0.8i(1−0.8)6−1=0.0989.
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