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.