Three randomly selected children are surveyed. The ages of the children are 2 ​, 3 ​, and 10 . Assume that samples of size nequals 2 are randomly selected with replacement from the population of 2 ​, 3 ​, and 10 . Listed below are the nine different samples. Complete parts​ (a) through​ (d). 2 ​,2    2 ​,3    2 ​,10    3 ​,2    3 ​,3    3 ​,10    10 ​,2    10 ​,3    10 ​,10

Question content area bottom Part 1 a. For the​ population, find the proportion of even

numbers. The proportion is enter your response here . ​(Round to three decimal places as​ needed.) Part 2 b. Find the proportion of even

numbers of each of the nine​ samples, then summarize the sampling distribution of the sample proportion of even

numbers in the format of a table representing the probability distribution of the distinct proportion values. Sample Proportion

Probability ▼

0.2 0.1 0

enter your response here ▼

0.25 0.75 0.5

enter your response here ▼

1 0.8 0.9

enter your response here ​(Type integers or simplified​ fractions.) Part 3 c. Find the mean of the sampling distribution of the sample proportion of even

numbers. The mean is enter your response here . ​(Round to three decimal places as​ needed.) Part 4 d. Based on the preceding​ results, is the sample proportion an unbiased estimator of the population ​ proportion? Why or why​ not? A. The sample proportions target the proportion of even

numbers in the​ population, so sample proportions make good estimators of the population proportion. B. The sample proportions do not target the proportion of even

numbers in the​ population, so sample proportions do not make good estimators of the population proportion. C. The sample proportions target the proportion of even

numbers in the​ population, so sample proportions do not make good estimators of the population proportion. D. The sample proportions do not target the proportion of even

numbers in the​ population, so sample proportions make good estimators of the population proportion.