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Fall 2011 Strategic Practice 5: Section 2 (Seeking Sublime Symmetry) - Question 3
Explain why if X ~ Bin(n, p), then n - X ~ Bin(n, 1 - p).
Solution: This follows immediately from the story of the Binomial, by redefining "success" as "failure" and vice versa.
"Mathematics is the logic of certainty, but
statistics is the logic of uncertainty."
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