
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
Let $X \sim N(1, 2^2)$, then $P(-1 < X \leq 3) = \_\_\_\_\_\_$ and $P(-3 < X \leq 5) = \_\_\_\_\_\_$  
(Reference data: $P(\mu-\sigma < X \leq \mu+\sigma) = 0.6826$, $P(\mu-2\sigma < X \leq \mu+2\sigma) = 0.9544$, $P(\mu-3\sigma < X \leq \mu+3\sigma) = 0.9974$)

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