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A random variable equals mu with probability 0.2 and is drawn from N(mu, 1) with probability 0.8. Given n samples, would you estimate mu with the sample mean or the sample median?

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A random variable equals mu with probability 0.2 and is drawn from N(mu, 1) with probability 0.8. Given n samples, how would you estimate mu? Is the sample mean or the sample median better?

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