
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A box contains 10 identical balls. Among them, 3 balls are labeled with the number 1, 4 balls are labeled with the number 2, and 3 balls are labeled with the number 5. One ball is randomly selected from the box, recorded, and then placed back into the box. Another ball is then randomly selected. Let the sum of the numbers on the balls from the first and second selections be denoted as $\xi$.
(I) Find the distribution of the random variable $\xi$.
(II) Find the expected value $E(\xi)$ of the random variable $\xi$.

Present the answer in LaTex format: \boxed{Your answer}
user