
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 distribution of the random variable $\eta$ is as shown in the table below:

| $\eta$ | $-1$ | $0$ | $1$ | $2$ | $3$ | $4$ |
|--------|------|-----|-----|-----|-----|-----|
| $P$    | $0.1$| $0.1$| $0.2$| $0.3$| $0.25$| $0.05$|

Calculate $P(\eta \leq 1)$.

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