Let X have the binomial distribution with parameters n and p Let Y have the binomial distribution with parameters n and 1 p Prove that the skewness of Y is the negative of the skewness of X Let Z n X and show that Z has the same distribution as Y

Question: Let X have the binomial distribution with parameters n and p. Let Y have the binomial distribution with parameters n and 1 p. Prove that

Let X have the binomial with parameters n and p. Let Y have the binomial with parameters n and 1− p. Prove that the skewness of Y is the negative of the skewness of X. Let Z = n − X and show that Z has the same as Y.

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