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25-10-2016
Mathematics

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Find c(n,x)pxqn-x to determine the probability of at least 2 successes in 5 trials of a binomial experiment in which p = 57/100.

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25-10-2016

The probability of exactly 2 successes is given by:
[tex]P(2)=5C2\times0.57^{2}\times0.43^{3}=0.2583[/tex]
P(3) = 0.3424
P(4) = 0.2270
P(5) = 0.0602
P(at least 2 successes)=0.2583 + 0.3424 + 0.2270 + 0.0602 = 0.888

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