SOLUTION: Environmental protection lobbyists interviewed 100 University students at random, asking the following question: �Should our lawmakers turn a blind eye to the defilement by mou

Question 866954: Environmental protection lobbyists interviewed 100 University students at random, asking the following question: �Should our lawmakers turn a blind eye to the defilement by mountaintop removal mining, or instead pass this law?� 80 of the 100 students surveyed were in favor of the proposed law.
Based on these results, suppose that you pick 2 students at random. What is the probability that at least one of the two of them is in favor of the proposed law? What theory of probability are you using in making this determination and why?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Environmental protection lobbyists interviewed 100 University students at random, asking the following question: �Should our lawmakers turn a blind eye to the defilement by mountaintop removal mining, or instead pass this law?� 80 of the 100 students surveyed were in favor of the proposed law.
Based on these results, suppose that you pick 2 students at random. What is the probability that at least one of the two of them is in favor of the proposed law? What theory of probability are you using in making this determination and why?
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Binomial Problem with n = 2 and p(favor) = 0.8 P(not favor) = 0.2
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P(>=1 in favor) = 1 - P(2 not favor) = 0.2^2 = 0.04
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Cheers,
Stan H.
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