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Consider the sequence of independent and identically distributed random variables Xi. 2 = 1 . .... 5 for which {` ( * ) = 4 and Var ( * ) = 2.

Consider the sequence of independent and identically distributed random variables Xi.2 = 1 . .... 5 for which {` ( * ) = 4 and Var ( * ) = 2.Consider the following estimator of {` ( * ) :* = - X1 + * * 2 + + \ 3 + + * 4 + =_X'Sa . Is the estimator & positively biased , negatively biased or unbiased ?b. Is the estimator I more , less , or equally as efficient as the estimator * = $` W. !*` ?Show all your working and provide all your reasoning .
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