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04-BS-2: December 2019

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

  1. Question 1 Snow Tire Life (Normal Distribution and Sampling)
  2. Question 2 City Subway Survey and Rare-Event Approximations
  3. Question 3 Bus Maintenance (Poisson) and a Hardware Shipment (Hypergeometric)
  4. Question 4 A Uniform Probability Density Function
  5. Question 5 Heat-Producing Capacity of Anthracite (Estimation and Testing)
  6. Question 6 Drill/Driver Kit Lifetime and a Recycling Satisfaction Survey
  7. Question 7 Shear Modulus of Steel — Two-Sample Comparison
  8. Question 8 Electric Consumption vs. Residence Area (Correlation and Regression)

Start with Question 1 →

National Examinations December 2019 — 04-BS-2, 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.