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04-BS-2: May 2013

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Normal Distribution — Parcel Weight
  2. Question 2 Binomial, Normal and Poisson Approximations
  3. Question 3 Poisson and Hypergeometric Distributions
  4. Question 4 Continuous Random Variable — Custom pdf
  5. Question 5 Estimation and Hypothesis Testing — Young's Modulus
  6. Question 6 Large-Sample Tests — Tile Weight and Road Satisfaction
  7. Question 7 Two-Sample Tests — Comparing Light Bulb Makes
  8. Question 8 Correlation and Simple Linear Regression — Gas Consumption

Start with Question 1 →

National Examinations, May 2013 — 04-BS-2 Probability and Statistics (2 hours, closed book except one hand-written information sheet and an approved calculator; any 5 of the 8 questions constitute a complete paper — all 8 are answered below as a full study resource).

Reference texts: Walpole, Myers, Myers & Ye, Probability & Statistics for Engineers and Scientists, 9th ed. (sampling distributions, estimation, hypothesis testing, correlation/regression); standard Normal, t, χ² and F tables as supplied with the exam.

Check: the printed sample-size line for Question 7 reads "thirteen bulbs were randomly selected...one result had to be discarded" immediately above a table showing nA=13, nB=12. Read as: Make A's sample stayed at 13 (no discard), Make B's original 13 dropped to 12 after the discard — the table's printed nA=13, nB=12 are used as given.