Find the probability mass function of the median third, Basic Statistics

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Find the probability mass function of the median third

Let be a sequence of five independent discrete random variables, each with a distribution described by:

(a) Find the probability mass function of the median (third largest) of these five samples.

b) For this random variable, is the median an unbiased estimate of the mean? That is, does the expected value of the median equal the mean of the X_i? Prove your answer

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Basic Statistics: Find the probability mass function of the median third

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Basic Statistics: Find the probability mass function of the median third

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