
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 ellipse $\frac{x^{2}}{25}{+}\frac{y^{2}}{b^{2}}{=}1 (0{ < }b{ < }5)$ with an eccentricity of $\frac{4}{5}$
(I) Find the standard equation of the ellipse;
(II) Find the vertices, foci, length of the major axis, and the focal distance.

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