SOLUTION: A club with 27 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 859807: A club with 27 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 47% in favor of the proposal. What are the chances that the proposal will get the majority vote?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

majority vote takes at least 14

or at least 10 votes among the remaining 23

p = .47,  n = 23

P(x ≥ 10) = 1 – P(x ≤ 9)= 1-binomcdf(23,.47,9)= .7064