
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 certain supermarket sells a package of high-quality Northeastern rice with weight X (in kg) following a normal distribution N(25, 0.04). If one bag of this rice is randomly chosen, find the probability that its weight is between 24.8 and 25.4 kg. (Note: If Z follows N(μ, σ²), then P(|Z-μ| < σ) = 0.6826, P(|Z-μ| < 2σ) = 0.9544, and P(|Z-μ| < 3σ) = 0.9974.)

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