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A study determined that 3% of children under 18 years of age live with their only. find the
probability that at most 2 persons selected at random from 12 children under 18 years of age
lived with their father only. The probability that 2 children lived with their father only is
_________ .
(Do not rounduntil the final answer. then round to the nearest thousandth as needed)
Solution
Given X~Binomial(n=12, p=0.03)
P(X=x)=xC12*(0.03^x)*(0.97^(12-x))
So the probability that 2 children lived with their father only is
P(X=2)=2C12*(0.03^2)*(0.97^(12-2)) =0.04380299

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A study determined that 3 of children under 18 years of age live wi.pdf

  • 1. A study determined that 3% of children under 18 years of age live with their only. find the probability that at most 2 persons selected at random from 12 children under 18 years of age lived with their father only. The probability that 2 children lived with their father only is _________ . (Do not rounduntil the final answer. then round to the nearest thousandth as needed) Solution Given X~Binomial(n=12, p=0.03) P(X=x)=xC12*(0.03^x)*(0.97^(12-x)) So the probability that 2 children lived with their father only is P(X=2)=2C12*(0.03^2)*(0.97^(12-2)) =0.04380299