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Mathematics, 28.07.2021 01:00 Knownothing

The ages​ (years) of three government officials when they died in office were 58​, 44​, and 60. a. Assuming that 2 of the ages are randomly selected with​ replacement, list the different possible samples.

(58,58), (58,44), (58,60), (44,58), (44,44), (44,60), (60,58), (60,44), (60,60)

b. Find the range of each of the​ samples, then summarize the sampling distribution of the ranges in the format of a table representing the probability distribution.
c. Compare the population range to the mean of the sample ranges.
d. Do the sample ranges target the value of the population​ range? In​ general, do sample ranges make good estimators of population​ ranges? Why or why​ not?

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