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Discrete random variables (Moments (Expected value, Standard deviation and…
Discrete random variables
Notion of a random experiment
Representation
Probability mass function
Cumulative distribution function
Moments
Expected value
Standard deviation and variance
Skewness and kurtosis
Expected values and variance of linear functions of random variables
Expected values and variance of sums of random variables
Bivariate (multivariate) distributions
Covariance and correlation
Independence
Marginal distributions
Conditional distributions
Conditional means and variances
Probability distributions of discrete random variables, examples
Bernoulli distribution
Binomial distribution