The ages (years) of three government officials when they died in office were 58,

Question

The ages (years) of three government officials when they died in office were 58, 44, and 60. Complete parts (a) through (d) a. Assuming that 2 of the ages are randomly selected with replacement, list the different possible samples. A. (58, 58), (58, 44), (58, 60), (44, 44), (44, 60), (60, 60) B. (58, 44), (58, 60), (44, 60) C. (58, 58), (58, 44), (58, 60), (44, 58), (44, 44), (44, 60), (60, 58), (60, 44), (60, 60) D. (58, 44), (58, 60), (44, 58), (44, 60), (60, 58), (60, 44) 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

Explanation / Answer

as there are total 9 samples with each having equal probability =1/9

adding duplicate values and corresponding probabilty:

x1 x2 Range probabilty 58 58 0 1/9 44 58 14 1/9 60 58 2 1/9 58 44 14 1/9 44 44 0 1/9 60 44 16 1/9 58 60 2 1/9 44 60 16 1/9 60 60 0 1/9

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