
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
Given that the probability of sending greeting messages to Xiao Li from his 40 colleagues are 1, 0.8, 0.5, and 0 respectively, with the number of people corresponding to each probability being 8, 15, 14, 3, calculate the expected number of greeting messages Xiao Li should receive from his colleagues.

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