I need a complete, detailed, step-by-step solution to the attached mathematical statistics problem.
Please follow these instructions carefully:
- Show all steps clearly and logically (no skipping steps)
- Use proper mathematical notation and clear explanations
- Justify each result using correct statistical concepts (MLE, sufficiency, Fisher information, CRLB, UMVUE, etc.)
- Clearly highlight final answers for each part
- Keep the work neat, organized, and easy to follow
- Avoid unnecessary shortcuts I need full understanding of the process
The solution should be written in a clear academic style, suitable for submission.
Thank you.
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