
15.5.24 Two-dimensional random variables and their characteristics
condition: Given a table of distribution of two random variables. Find conditional mathematical expectations: \[ M(X / Y=0), M(X / Y=3), M(Y / X \geq 2) \text {. } \] \begin{tabular}{|c|c|c|} \hline\( X \backslash Y \) & 0 & 3 \\ \hline 1 & 0.2 & 0.1 \\ \hline 2 & 0.1 & 0.2 \\ \hline 4 & 0.3 & 0.1 \\ \hline \end{tabular}
Two-dimensional discrete and continuous random vectors. Calculation of their as well as marginal characteristics. Covariance and correlation matrices.