IMSE 317
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Syllabus
IMSE 317: Engineering Probability and Statistics
Lecture slides
Chapter 1. Descriptive statistics
1.1 Course introduction
1.2 Population, sample, and variable
1.3 Four levels of measurement
1.4 Graphical integrity
1.5 Measures of location
1.6 Measures of variability
1.7 Data visualization
Chapter 2. Probability
2.1 Sample space, events
2.2 Set operations
2.3 Probability axioms
2.4 Product rule
2.5 Permutation
2.6 Combination
2.7 Conditional probability
2.8 Multiplication rule
2.9 Total probability theorem
2.10 Bayes’ rule
2.11 Independence
Chapter 3. Discrete random variables
3.1 Random variables
3.2 Probability mass function
3.3 Cumulative Distribution Function
3.4 Expected value
3.5 Variance
3.6 Uniform distribution
3.7 Bernoulli distribution
3.8 Binomial distribution
3.9 Geometric distribution
Chapter 4. Continuous random variables
4.1 Probability density function
4.2 Continuous CDF
4.3 Continuous expectation & variance
IMSE 317: Engineering Probability and Statistics