SOLUTION: A club with 25 members is voting on a proposal. A group of 4 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 962312: A club with 25 members is voting on a proposal. A group of 4 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 45% 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 4 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 45% in favor of the proposal. What are the chances that the proposal will get the majority vote.
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Needed for majority vote:: >=13
Binomial Problem with n = 25-4 = 21
P(yes vote) = 0.45
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P(x >= 13) = 1 - binomcdf(21,0.45,12) = 0.0908
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Cheers,
Stan H.
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