SOLUTION: A club with 31 members is voting on a proposal. A group of 6 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of
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Question 858068: A club with 31 members is voting on a proposal. A group of 6 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 49% in favor of the proposal. What are the chances that the proposal will get the majority vote?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A club with 31 members is voting on a proposal. A group of 6 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 49% in favor of the proposal. What are the chances that the proposal will get the majority vote?
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25 of the voters are undecided.
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Binomial Problem with n = 25 ; p(in favor) = 0.49 ; p(not favor) = 0.51
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Need 10 of the 25 to vote in favor.
P(x = 10) = 25C10(0.49)^10*(0.51)^15 = binompdf(25,0.49,10) = 0.0020
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Cheers,
Stan H.
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