Three randomly selected households are surveyed. the numbers of people I the households are 3,5 and 10 Assume that samples of size n=2 are randomly selected with replacement from the population of 3, 5 and 10. Construct a probability distribution table that describes the sampling distribution of the proportion of even numbers when samples of sizes n=2 are randomly selected. Does this mean the sample proportions equal the proportion of even numbers in the population? do the sample proportions target the value of the population proportion? does the sample proportion make good estimators of the population proportion? Listed are the nine possible samples. 3,3 3,5 3,10 5,3 5,5 5,10 10,3 10,5 10,10

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Question: Three randomly selected households are surveyed. the numbers of people I the households are 3,5 and 10 Assume that samples of size n=2 are randomly selected with replacement from the population of 3, 5 and 10. Construct a probability distribution table that describes the sampling distribution of the proportion of even numbers when samples of sizes n=2 are randomly selected. Does this mean the sample proportions equal the proportion of even numbers in the population? do the sample proportions target the value of the population proportion? does the sample proportion make good estimators of the population proportion? Listed are the nine possible samples. 3,3 3,5 3,10 5,3 5,5 5,10 10,3 10,5 10,10

I need help learning how to work out the middle column.  The even numbers are easy- but now sure how to complete.  

How to complete the second table - thank you 

Sample  Sample Proportion  of even numbers  Probability
3,3 0 1/9
3,5   1/9
3,10   1/9
5,3 0 1/9
5,5   1/9
5,10   1/9
10,3   1/9
10,5   1/9
10,10   1/9
Sample Proportion Probability
   
   
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