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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.