The exhaustive list of topics in Probability Methods in Civil Engineering in which we provide **Help with Homework Assignment** and **Help with Project** is as follows:

- Role of probability and statistics in civil engineering.
**Random events:**- Definition of basic random events
- Application of set theory in definition of composite event operations.
- Probability of events and definition of probability axioms
- Solution of real life examples from civil engineering.

**Random Variables:**- Definition of random variables - discrete and continuous.
- Probability definitions - PMF, PDF, CDF
- Moments and expectations.

**Functions of random Variables:**- Definition of probability distributions of functions of single and multiple random variables
- Exact methods and approximate methods.
- Moments and expectations of functions
- Direct and indirect methods.

**Random Variables:**- Random variables - discrete and continuous
- Probability definitions - PMF, PDF, CDF;
- Moments and expectations.

**Functions of random Variables:**- Definition of probability distributions of functions of single and multiple random variables
- Exact methods and approximate methods.
- Moments and expectations of functions
- Direct and indirect methods.

**Probability Distributions:**- Discrete distributions
- Binomial distribution
- Poisson’s distribution.
- Continuous distributions
- Exponential distribution
- Gamma distribution
- Central limit theorem.
- Normal and lognormal distributions
- Extreme value distributions.

**Random samples and statistics:**- Various civil engineering problems.

**Sampling distributions:**- Chi-square distribution
- T - distribution
- F distribution.

**Parameter estimation:**- Point estimation
- Confidence interval estimation

**Hypothesis Testing:**- Tests of hypotheses on the mean and variance.