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(Solved): Let XBin(n,p), where the probability of success p is unknown and is estimated, as usual, by p^ ...



Let \( X \sim \operatorname{Bin}(n, p) \), where the probability of success \( p \) is unknown and is estimated, as usual, by

Let , where the probability of success is unknown and is estimated, as usual, by . Show that the statistic is an unbiased estimator of


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To show that T = 2(1-p) is an unprejudiced assessor of p, we want to compute the normal worth of T and contrast it with the genuine worth of p. We realize that the normal worth of T is given by: E(T) = E(2(1-p)) = 2E(1-p) = 2(1 - E(p)) where E(p) is the genuine worth of the obscure bo...
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