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

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

Related Resources

Related Course Page

FAD1015 - Mathematics III