According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exactly 2 voters will be in favor of the ballot initiative? Round the answer to the nearest thousandth

Question

Mathematics

Hicks

27 November, 16:32

According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exactly 2 voters will be in favor of the ballot initiative? Round the answer to the nearest thousandth

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Kiara Pearson · Answer 1

Using the probability (conditional) formula, where P is equals to the number of favorable outcomes over the total number of outcomes. Calculating using five and the thirty percent, 1.5 is the answer. But that cannot be the answer.

So we look for the probability using this formula derived from the original, (total outcomes) x (percentage) = (favorable outcomes), 5x=2. That gives us the answer of 0.4 or 40%.