Three randomly selected households are surveyed. The numbers of people in the ho

Question

Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 4, and 9. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 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. 2 Probability (Type an integer or a fraction. Use ascending order of the sample variances.) Enter your answer in the edit fields and then click Check Answer. parts Clear All Check Answer avascript:doExercise(3):

Explanation / Answer

from given samples below is probability distribution of variance:

s2 probability 0 1/3 2 2/9 12.5 2/9 24.5 2/9

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