Suppose that I know that 18% of a population is willing to pay more taxes.
When I select random 48 people from that population, what is the probability that exactly 8 of them are willing to pay more taxes? 1?
2026-03-27 20:20:02.1774642802
A probability (exactly k out of n)
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The binomial distribution formula tells us this is
$$\binom{48}{8}\left(\frac{18}{100}\right)^8 \left(\frac{82}{100}\right)^{40}$$