In this​ case, assume that 179 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted.
Probability that exactly 42 voted

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The binomial distribution applies here.
[tex]P(42\ voted)=179C42\times(0.22)^{42}\times(0.78)^{137}=0.063[/tex]