docs: in_random: fix config params, sorting, descriptions

[eschabell]

• Sort configuration parameters alphabetically
• Change parameter names to lowercase to match other input plugin docs
• Fix inconsistent casing in classic config example (Interval_NSec -> Interval_Nsec)
• Update table header alignment to match other docs
• Shorten descriptions to match documentation style conventions

Fixes #2342

Summary by CodeRabbit

• Documentation
  • Configuration keys have been standardized to lowercase snake_case naming convention (e.g., Samples → samples, Interval_Sec → interval_sec).
  • Updated all configuration examples and documentation to align with the new key naming format.

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[coderabbitai]

📝 Walkthrough

Walkthrough

This pull request updates the random input plugin documentation by standardizing configuration parameter keys from capitalized formats (Samples, Interval_Sec, Interval_Nsec, Threaded) to consistent lowercase snake_case (samples, interval_sec, interval_nsec, threaded), with corresponding updates to descriptions and examples throughout the documentation.

Changes

Cohort / File(s)	Summary
Configuration key normalization pipeline/inputs/random.md	Renamed all configuration parameter keys to lowercase snake_case, updated configuration examples (YAML and INI-style), and adjusted documentation table formatting to reflect standardized naming conventions.

Estimated code review effort

🎯 2 (Simple) | ⏱️ ~7 minutes

Possibly related PRs

• Fixed typos, sorted config table, moved a config option from metrics table. Fixes #2233 #2234 — Performs identical config-key renames (Interval_Sec → interval_sec, Interval_Nsec → interval_nsec, Threaded → threaded) for a different input-plugin documentation file.
• Adjusted config option table and cleanup of disk io metrics input plugin doc. Fixes #2235. #2236 — Standardizes configuration key naming across another input-plugin documentation file with the same renaming pattern.

Suggested reviewers

• cosmo0920
• patrick-stephens

Poem

🐰 The keys now dance in lowercase grace,
Snake_case sorted in their place,
Documentation neat and clean,
The finest docs we've ever seen! ✨

🚥 Pre-merge checks | ✅ 5

✅ Passed checks (5 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The title accurately describes the main changes: fixing config parameters, sorting them, and updating descriptions for the in_random plugin documentation.
Linked Issues check	✅ Passed	The pull request addresses all objectives from linked issue #2342: standardizing parameter names to lowercase, sorting configuration parameters alphabetically, fixing inconsistent casing, and updating documentation formatting.
Out of Scope Changes check	✅ Passed	All changes are scoped to the in_random plugin documentation file (pipeline/inputs/random.md) and directly address the stated objectives in issue #2342.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.

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