Fundamental Statistics for Engineers
Bachelor of Engineering Degree, Universiti Brunei Darussalam, 2021
Students will learn fundamental statistics and probability.
Contents
- Introduction & Treatment of data
- Sample spaces & events, counting, Probability, axioms of Probability
- Elementary Theorems, conditional probability, Bayes Theorem,
- Mathematical expectation & Decision Making
- Discrete Random Variables, Binomial& Hyper geometric Distribution
- Mean & variance of a probability distribution, Chebyshev’s Theorem
- Poisson process, Poisson & Geometric distribution
- Continuous random variables, Normal distribution
- Normal approximation to Binomial & other probability densities, Uniform distribution
- Single sample, two independent samples, paired samples,
- Inference for normal means, hypothesis tests, type 1 and type 2 error rates, inference for proportions
- SPC, the Xbar chart, control limits, runs rules, process capability, general control charts, cusum charts
- regression and correlation, simple linear regression, least squares estimation, inference for regression coefficients, prediction and estimation, regression diagnostics
- multiple linear regression, least squares estimation, inference, prediction and estimation, diagnostics
Assessment
- Examination: 60%
- Coursework: 40%
- Two class tests (10% each)
- Two Class Tests (20%)
- Two assignments (10% each)
Home Work
- Sample spaces & events
- Probability
- Probability distribution
- Binomial distribution
- Hyper geometric distribution
- Poisson distribution
- Normal distribution
- Normal approximation to other probability densities
- Sampling distribution
- Uniform distribution
- Hypothesis testing
- Charts
- Regression
Coursework
COVID-19 vaccination Statistics