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Three randomly selected children are surveyed. The ages of the children are 1, 2, and 12. Assume that samples of size n=2 are randomly selected

Three randomly selected children are surveyed. The ages of the children are 1, 2, and 12. Assume that samples of size n=2 are randomly selected with replacement from the population of 1, 2, and 12. Listed below are the nine different samples. Complete parts (a) through (d).

1,1

1,2

1,12

2,1

2,2

2,12

12,1

12,2

12,12

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

1

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(integers or simplified fractions.)

c. Find the mean of the sampling distribution of the sample median. (integer or a decimal. Do not round.)

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