Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)
2 hours, closed book (Casio/Sharp approved calculator + one hand-written 8.5"×11" information sheet, both sides). Any 5 of the 8 questions constitute a complete paper, all of equal value; every question is solved below in full as a study resource.
Reference texts: Walpole, Myers, Myers & Ye, Probability & Statistics for Engineers and Scientists, 9th ed. (Pearson) — sampling distributions (Ch. 6), discrete distributions (Ch. 5), estimation and hypothesis tests (Ch. 9–10), correlation and regression (Ch. 11).
