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

33,

55,

and

1010.

Assume that samples of size

nequals=2

are randomly selected with replacement from the population of

33,

55,

and

1010.

Listed below are the nine different samples. Complete parts (a) through (c).

33,33

33,55

33,1010

55,33

55,55

55,1010

1010,33

1010,55

1010,1010

domly selected househ vered of people 3,3 3,5 3,10 5,3 5,5 5,10 10,3 10,5 10.10 a. Fi the variance the ni e samples, the ize the sampl Type fraction. US candling order of tha mpie val distribution ofthe vari the mat of a table repr ly self e probability distribution the distinct va 6, and 10. Listed below Pes. Complete parts

Explanation / Answer

as 9 samples are there probabilty for each sample =1/9=0.1111

from above adding probability of duplicate values:

x1 x2 Variance P(x) 3 3 0 0.1111 5 3 2 0.1111 10 3 24.5 0.1111 3 5 2 0.1111 5 5 0 0.1111 10 5 12.5 0.1111 3 10 24.5 0.1111 5 10 12.5 0.1111 10 10 0 0.1111

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