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Apopulationconsistsoffournumbers{0,2,4,6}repeatedindefinitely. Calculatethemeanandstandarddeviationofthepopulation. Considerdrawingarandomsampleofsize n =2 with replacement.Listall possible samples and evaluate x and p foreach. Determinethesamplingdistributionof X usingtheinformationin(b).Justa simple table (column for x and p)

Apopulationconsistsoffournumbers{0,2,4,6}repeatedindefinitely.

  1. Calculatethemeanandstandarddeviationofthepopulation.
  2. Considerdrawingarandomsampleofsizen=2withreplacement.Listall possible samples and evaluatexand p foreach.
  3. DeterminethesamplingdistributionofXusingtheinformationin(b).Justa simple table (column forxand p) willdo
  4. CalculatethemeanandstandarddeviationofthesamplingdistributionofX. Comparewiththeanswers in(a),whatdoyouobserve?

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