Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
National Examinations May 2019 (course code 04-IE-2 / 04-BS-2, shared statistics paper) — Probability and Statistics, 2 hours, closed book except one hand-written information sheet and an approved calculator. Any 5 of 8 questions constitute a complete paper; all 8 are solved below.
Reference texts: Walpole, Myers, Myers & Ye, Probability & Statistics for Engineers and Scientists (Pearson) — used throughout for distribution theory, estimation and hypothesis-testing formulas.