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04-BS-2: December 2018

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

  1. Question 1 Normal Distribution of Bag Weight
  2. Question 2 Binomial/Normal-Approximation Survey and Hypergeometric Sampling
  3. Question 3 Poisson Process — Telephone Calls
  4. Question 4 Custom Probability Density Function
  5. Question 5 Confidence Intervals and Hypothesis Tests — Brinell Hardness
  6. Question 6 Chi-Square Test of Homogeneity — Four Assembly Lines
  7. Question 7 Two-Sample Tests — Switch Activation Time
  8. Question 8 Correlation and Simple Linear Regression — Study Hours vs. Marks

Start with Question 1 →

National Examinations December 2018 — 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.