Three randomly selected children are surveyed. The ages of the children are 1, 3, and 8.

Assume that samples of size n=2 are randomly selected with replacement from the population of

1, 3, and 8.

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

1,11,3 1,8 3,13,33,88,1 8,38,8

1. For thepopulation, find the proportion ofodd numbers.
2. Find the proportion ofodd numbers of each of the ninesamples, then summarize the sampling distribution of the sample proportion ofodd numbers in the format of a table representing the probability distribution of the distinct proportion values.
3. Find the mean of the sampling distribution of the sample proportion ofodd numbers.
4. Based on the precedingresults, is the sample proportion an unbiased estimator of the populationproportion? Why or whynot?