
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 the following propositions:
1. A quality inspector takes a sample from a uniformly moving production line every 30 minutes to test a certain indicator. This sampling method is systematic sampling.
2. The stronger the linear correlation between two variables, the closer the value of the correlation coefficient is to 1.
3. For two categorical variables \(X\) and \(Y\) with observations \(k^{2}\), a smaller \(k^{2}\) indicates a higher degree of confidence that "X is related to Y."
4. For a random variable \(X\) distributed as \(N(0,1)\), it holds that \(P(|X| < 1) = 2P(X < 1) - 1\).
Determine which of these propositions are true.

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