Three randomly selected children are surveyed. The ages of the children are 2​, 4​, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 2​, 4​, and 12. Listed below are the nine different samples. Complete parts​ (a) through​ (d).     2​,2    2​,4    2​,12    4​,2    4​,4    4​,12    12​,2    12​,4    12​,12          a. Find the value of the population median.   enter your response here ​(Type an integer or a decimal. Do not​ round.) b. Find the median of each of the nine​ samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values.   Sample Median Probability ▼   4.8 2 6.4 enter your response here ▼   5 3 5.5 enter your response here ▼   1.2 2.8 4 enter your response here ▼   10 14 7 enter your response here ▼   16 13 8 enter your response here ▼   18 24 12 enter your response here ​(Type integers or simplified​ fractions.) c. Find the mean of the sampling distribution of the sample median.

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