
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
The technical control department checks 475 products for defects. The probability that a product is defective is 0.05. Find, with a probability of 0.95, the limits within which the number $m$ of defective products among those checked will fall.

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