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  3. (25) consider a population {1,2,3} which has only

(25) Consider a population {1,2,3} which has only three numbers. (5) What are the relationships of...

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Statistics

(25) Consider a population {1,2,3} which has only three numbers.(5) What are the relationships of the individuals of a randomsample, namely X_1,X_2…,X_n (5) If we sample with replacement fromthis population with sample size =2, what is the distribution ofsample mean (Distribution table)? (5) If we sample withoutreplacement from this population with sample size=2, what is thedistribution of the sample mean (Distribution table)? (10) If wesample with replacement from this population with sample size=100,state the theorem for finding the distribution of the sample mean.What is the distribution of the sample mean (including the mean andvariance)?

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