vork: Homework Chapter 6 Question 35, 6.3.13 Part 2 of 4 HW Score: $33.99 \%, 17.33$ of 51 points Points: 0 of 1 The ages (years) of three government officials when they died in office were 56,45 , 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. $(56,45),(56,60),(45,60)$ B. $(56,56),(56,45),(56,60),(45,45),(45,60),(60,60)$ C. $(56,56),(56,45),(56,60),(45,56),(45,45),(45,60),(60,56),(60,45),(60,60)$ D. $(56,45),(56,60),(45,56),(45,60),(60,56),(60,45)$ 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. (Type an integer or a fraction.) lestion 41 uestion 42 Clear all Chack answer
Solution
Step 1 ：The problem is asking for the different possible samples of ages when 2 of the ages are randomly selected with replacement. This means that after selecting an age, it is put back into the pool and can be selected again.
Step 2 ：The ages of the officials are 56, 45, and 60.
Step 3 ：We can list all the possible samples of ages when 2 of the ages are randomly selected with replacement as follows: (56, 56), (56, 45), (56, 60), (45, 56), (45, 45), (45, 60), (60, 56), (60, 45), (60, 60).
Step 4 ：Final Answer: The different possible samples of ages when 2 of the ages are randomly selected with replacement are \(\boxed{[(56, 56), (56, 45), (56, 60), (45, 56), (45, 45), (45, 60), (60, 56), (60, 45), (60, 60)]}\). This corresponds to option C in the question.
