Discrete Random Variables

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A discrete random variable maps outcomes to values of a countable set (e.g., the integers), with each value in the range having probability greater than or equal to zero.

Discrete Probability

Mean and Variance

Expected Value

Variance

Binomial Distribution

, where p is the probability of successes in n independent trials.

Jointly distributed variables

Conditional Probabilities

Covariance and Correlation

Other useful results