# Three randomly selected households are surveyed. The numbers of people in the households are 1,2 and 12. assume that sample of size n=2 are randomly selected with replacement from the population of 1,2, and 12. nine different samples:1,1, 1,2 1,12, 2,1 2,2 2,12 12,1 12,2 12,12 Find the variance of each of the nine​ samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values.

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Three randomly selected households are surveyed. The numbers of people in the households are 1,2 and 12. assume that sample of size n=2 are randomly selected with replacement from the population of 1,2, and 12.

nine different samples:
1,1, 1,2 1,12, 2,1 2,2 2,12 12,1 12,2 12,12

Find the variance of each of the nine​ samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values.
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Step 1

Sample variances:

The following table lists the possible samples with replacement, from the thr...

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