The ages (years) of three government officials when they died in office were 54,

Question

The ages (years) of three government officials when they died in office were 54, 45, and 61. Complete parts (a) through (d). a. Assuming that 2 of the ages are randomly selected with replacement, list the different possible samples. (MA. 54,54 (54,45), (54,61), (45,54), (45,45), (45,6 (61,54) (61,45), (61,61) O B. 54,54 (54,45), (54,61), (45,45) (45,61) (61,6 O C. 54.45), (54.6 45,54). (45,61) 61.5 (61,45) D. 54,45) (54,6 45,6 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 Sample Range Probability (Type an integer or a fraction.)

Explanation / Answer

as thre are 9 sample .hence probabilty of each sample =1/9

therefore below is the distribution of range of samples

adddign duplicate value of range:

c) option A is correct

d)option D is correct

x1 x2 Range Probability 54 54 0 1/9 45 54 9 1/9 61 54 7 1/9 54 45 9 1/9 45 45 0 1/9 61 45 16 1/9 54 61 7 1/9 45 61 16 1/9 61 61 0 1/9

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