
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 a random variable that follows a normal distribution N(μ, σ²), the probability of its value falling within the intervals (μ-σ, μ+σ), (μ-2σ, μ+2σ), and (μ-3σ, μ+3σ) are 0.6826, 0.9544, and 0.9974, respectively. If the weight X (in kg) of a certain type of bagged rice follows a normal distribution N(50, 0.01), what is the probability that the weight of a randomly chosen bag of this rice falls within 49.8 to 50.1 kg?

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