
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 weather forecast predicts that for each day from Monday to Friday next week, there is a $30\%$ chance of sun, a $35\%$ chance of getting 3 inches of rain, and a $35\%$ chance of getting 8 inches of rain. What is the expected value of the total number of inches of rain which will fall from Monday to Friday?  Give your answer as a decimal rounded to the nearest tenth.

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