FAD1015 Final 2023-2024

Past year final examination paper for FAD1015 Mathematics III (Academic Year 2023/2024). Source file: FE FAD1015 23-24.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: 2023/2024
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

Review all tutorials thoroughly
Practice normal approximation with continuity correction
Master hypothesis testing steps
Practice matrix inverse calculations
Time management for comprehensive coverage

Related Resources

Related Course Page

FAD1015 - Mathematics III