SOLUTION: Suppose that a certain candidate is running in a city election. A recent poll of 500 randomly chosen voters concludes that 60% of the voters prefer this candidate. Determine the pr

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Question 287062: Suppose that a certain candidate is running in a city election. A recent poll of 500 randomly chosen voters concludes that 60% of the voters prefer this candidate. Determine the probability that the candidate will get less than 56% of the votes.Please help I keep getting this kind of question wrong and I have a test next week. I don't even know anymore if I'm even setting the thing up right.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Suppose that a certain candidate is running in a city election.
A recent poll of 500 randomly chosen voters concludes that 60% of the voters prefer this candidate.
Determine the probability that the candidate will get less than 56% of the votes.
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Binomial Problem: n = 500 ; p = 0.6
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Note 56% of 500 = 280
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P(0< x < 280) = binomcdf(500,0.6,280) = 0.0380
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Cheers,
Stan H.

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