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

Algebra ->  Probability-and-statistics -> 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      Log On


   

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) About Me  (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.
-----
Binomial Problem: n = 500 ; p = 0.6
---
Note 56% of 500 = 280
------------
P(0< x < 280) = binomcdf(500,0.6,280) = 0.0380
==================================================
Cheers,
Stan H.