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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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