
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
Random variable $\xi$ has a distribution function

$$
F(x)=\Phi(x)=\frac{1}{\sqrt{2 \pi}} \int_{-\infty}^{x} e^{-u^{2} / 2} d u.
$$

1. Find the probability that the interval $(\xi-1, \xi+1)$ contains the number 2.3.
2. Find $a$ and $b$ such that the interval $(\xi-a, \xi+b)$ contains the number 2.3 with probability 0.98, and $\mathrm{P}(2.3<\xi-a)=\mathrm{P}(2.3>\xi+b)$.

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