SOLUTION: Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The probability of at least three successes i

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Question 1112389: Use the formula
C(n, x)pxqn − x
to determine the probability of the given event. (Round your answer to four decimal places.)
The probability of at least three successes in six trials of a binomial experiment in which
p = 1/2

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Do 0, 1, 2 successes and subtract the combined sum from 1
For 0, it is .5^6=0.0156
For 1 it is 6C1(1/2)^6, which is 6 times the first or 0.0938
For 2 it is 6C2(1/2)^6, which is 15 times the first or 0.2344
The sum of those 3 is 0.3438
The probability is for at least 3 successes, so that is 1-0.3438 or 0.6562

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