SOLUTION: 19​% of a certain​ country's voters think that it is too easy to vote in their country. You randomly select 12 likely voters. Find the probability that the number of li

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Question 1094349: 19​% of a certain​ country's voters think that it is too easy to vote in their country. You randomly select 12 likely voters. Find the probability that the number of likely voters who think that it is too easy to vote is​ (a) exactly​ three, (b) at least​ four, (c) less than eight.
Thanks in advance!

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
This is a binomial probability problem with the number of trials = 12 and the probability of "success" = 0.19
The probability of x successes in n tries is
P(x) = C(n,x)p^x*(1-p)^(n-x), where p=probability of success and
C(n,x) is the number of combinations of n things taken x at a time.
(a) P(x=3) = C(12,3)*0.19^3*0.81^9 = 0.2265

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