
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 meteorological report predicts that for each day from Monday to Sunday next week, there is a 30% chance of sun, a 40% chance of getting 5 inches of rain, and a 30% chance of getting 12 inches of rain. Calculate the expected value of the total number of inches of rain that will fall over the week. Provide your answer as an exact value.

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