SOLUTION: A club with 25 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 807636: A club with 25 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 47% 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 25 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 47% in favor of the proposal. What are the chances that the proposal will get the majority vote?y
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A majority vote would be 13 for and 12 against.
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Need to get 13-6 = 7 of the 19 remaining votes.
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Binomial Problem with n = 19 and p(for) = 0.47
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P(x = 7) = 19C7(0.47)^7*0.53^(12) = binompdf(19,0.47,7) = 0.1254
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Cheers,
Stan H.
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