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Consider an i.i.d. random sample of size 3 denoted by ?1,?2, ?3 from the same population,...

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Statistics

Consider an i.i.d. random sample of size 3 denoted by ?1,?2, ?3from the same population, where the mean ? and variance ? 2 areunknown. Suppose that you have the following two differentestimators for mean ?. (Remember: no work, no credit.) ?Ì‚1 = 0.3?1+ 0.5?2 + 0.2?3 ?Ì‚2 = 0.5?1 + 0.5?3 a. Is ?Ì‚1 unbiased? b. Is ?Ì‚2unbiased? c. Which one is preferred, ?Ì‚1 or ?Ì‚2?

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SolutionConsider an independent and identically distributed randomsample X1X2X3 of size 3 from    See Answer
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