At a local high school, 12 boys and 4 girls are applying to MIT. Suppose that the

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At a local high school, 12 boys and 4 girls are applying to MIT. Suppose that the boys have a 10% chance of getting in and the girls have a 20% chance.

(a) Find the mean and variance of the number of students accepted.

(b) What is more likely: 2 boys and no girls accepted or 1 boy and 1 girl?

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