SOLUTION: 1. A community of 9 members is voting on a proposal. Each member casts a yea or ney vote. On a random voting basis, what is the probability that the proposal wins by a vote of 7 t

Algebra ->  Probability-and-statistics -> SOLUTION: 1. A community of 9 members is voting on a proposal. Each member casts a yea or ney vote. On a random voting basis, what is the probability that the proposal wins by a vote of 7 t      Log On


   



Question 534056: 1.
A community of 9 members is voting on a proposal. Each member casts a yea or ney vote. On a random voting basis, what is the probability that the proposal wins by a vote of 7 to 2?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A community of 9 members is voting on a proposal. Each member casts a yea or ney vote. On a random voting basis, what is the probability that the proposal wins by a vote of 7 to 2?
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Binomial with n = 9 and p(yea) = 1/2
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P(x = 7) = 9C7(1/2)^2*(1/2)^2 = 0.0703
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Cheers,
Stan H.