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Topic 9 Joint Probability Distribution - Coggle Diagram
Topic 9
Joint Probability Distribution
Joint discrete distribution is also called joint probability mass function (joint pmf)
Definition
𝑝(𝑥, 𝑦) = 𝑃(𝑋 = 𝑥 𝑎𝑛𝑑 𝑌 = 𝑦)
Marginal Probability Mass Distributions
Type of variable
mass function for discrete rv
density function for continuous rv
Expected Values for Discrete RV
Expected value of X, E(X)
Expected value of Y, E(Y)
Variances for Discrete RV
Variance of X, Var(X)
Variance of Y, Var(Y)
Covariance for Discrete RV
Correlation Coefficient
Marginal Probability Density Distributions
Expected Values Continuous RV
Expected value of X, E(X)
Expected value of Y, E(Y)
Variances Continuous RV
Variance of X, Var(X)
Variance of Y, Var(Y)
Covariance for Continuous RV
Correlation Coefficient