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In a large population of high school students, 20% have experienced math anxiety. if you take a random sample of 10 students from this population, the probability that exactly two students have experienced math anxiety is ____.

User Lloiacono
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The probability is 0.302.

This is a binomial probability. There are two outcomes; the probabilities are independent; and there is a fixed number of trials. The probability is given by:


_nC_r(p)^r(1-p)^(n-r) \\ \\=_(10)C_2(0.2)^2(1-0.2)^(10-2)=_(10)C_2(0.2)^2(0.8)^8 \\ \\=45(0.2)^2(0.8)^8=0.30199\approx0.302
User Goldlife
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