Python Probability Analysis Tasks

This project centres on a series of probability-based statistical analyses that must be carried out in Python. The datasets and exact questions are already prepared; what I need is clean, well-structured code that explores each problem, applies the correct probability theory, and returns clear numerical insights.

You may use any mainstream scientific-computing stack you prefer—NumPy, SciPy, pandas, scikit-learn, or equivalent—as long as every step is fully reproducible. For each task, include concise in-line comments plus a brief markdown summary explaining the logic behind the formulas, tests, or distributions you selected.

Deliverables
• A fully executable .py script or Jupyter notebook for every assigned task
• A short written interpretation (one or two paragraphs per task) highlighting the statistical conclusion

I’ll share the data and the exact questions once we agree to proceed.