FAD1015 Final 2024-2025

Past year final examination paper for FAD1015 Mathematics III (Academic Year 2024/2025). Source file: FE FAD1015 2024-2025_upload.pdf

Summary

Final examination covering all topics in FAD1015: probability theory, distributions (binomial, Poisson, normal, uniform, exponential), sampling distributions, estimation, hypothesis testing, and matrix algebra.

Exam Information

  • Academic Year: 2024/2025
  • Course: FAD1015 Mathematics III
  • Type: Final Examination
  • Coverage: Full semester content

Topics Assessed

Based on typical FAD1015 final exam structure:

Section A: Probability Fundamentals

  • Counting rules and permutations
  • Basic probability (conditional, independent events)
  • Bayes' theorem

Section B: Random Variables & Distributions

  • Discrete random variables (PDF, CDF, mean, variance)
  • Continuous random variables
  • Binomial Distribution
  • Poisson Distribution
  • Normal Distribution
  • Uniform Distribution
  • Exponential Distribution

Section C: Sampling & Estimation

  • Sampling distribution of the mean
  • Central Limit Theorem applications
  • Confidence intervals (z and t intervals)
  • Sample size determination

Section D: Hypothesis Testing

  • One-sample hypothesis tests (z and t)
  • Test setup and interpretation
  • Type I and Type II errors
  • p-values and critical values

Section E: Matrices

  • Matrix operations
  • Determinants
  • Matrix inverse
  • Solving systems of linear equations

Study Recommendations

  1. Compare with 2023-2024 paper to identify patterns
  2. Focus on commonly tested distributions
  3. Practice complete hypothesis testing procedure
  4. Master matrix inversion for 2×2 and 3×3 matrices
  5. Review R programming concepts if applicable

Related Resources

Related Course Page