SOLUTION: The probability of a voter supporter FVPP is 0.6. Find the probability that in a random sample of 8 voters there are: a) AT least 2 supporters b) more than 5 supporters.

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Question 984347: The probability of a voter supporter FVPP is 0.6. Find the probability that in a random sample of 8 voters there are: a) AT least 2 supporters b) more than 5 supporters.
Answer by reviewermath(1029) About Me  (Show Source):
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The probability of a voter supporter FVPP is 0.6. Find the probability that in a random sample of 8 voters there are:

Let X = number of FVPP supporters in a random sample of 8 voters
X~Binomial(n = 8, p=0.6)
a) AT least 2 supporters
P(X ≥ 2) = sum%28%28matrix%282%2C1%2C8%2Cx%29%29%280.6%5Ex%29%280.4%5E%288-x%29%29%2Cx=2%2C8%29 = highlight%280.99148%29

b) more than 5 supporters
P(X > 5) = sum%28%28matrix%282%2C1%2C8%2Cx%29%29%280.6%5Ex%29%280.4%5E%288-x%29%29%2Cx=6%2C8%29 = highlight%280.31539%29