Three randomly selected households are surveyed. The numbers of people in the households are 2 ​,4 ​,and 12. Assume that samples of size n equals 2 are randomly selected with replacement from the population of 2​,4​,and 12. Listed below are the nine different samples.   a. 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. ​(Type an integer or a fraction. Use ascending order of the sample​ variances.)

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