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

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The different possible samples of ages when 2 of the ages are randomly selected with replacement are $[(56, 56), (56, 45), (56, 60), (45, 56), (45, 45), (45, 60), (60, 56), (60, 45), (60, 60)]$ . This corresponds to option C in the question.

Steps

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 $[(56, 56), (56, 45), (56, 60), (45, 56), (45, 45), (45, 60), (60, 56), (60, 45), (60, 60)]$ . This corresponds to option C in the question.

Answer

Popular Problems