15.2.2 One dimensional random variables and their characteristics

Problem: Independent random variables \( x \) and \( y \) have the distribution \begin{tabular}{|c|c|c|} \hline\( x_{i} \) & -2 & -1 \\ \hline\( p_{i} \) & 0,4 & 0,6 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline\( y_{i} \) & 1 & 2 \\ \hline\( p_{i} \) & 0,7 & 0,3 \\ \hline \end{tabular} Find the law of distribution of the random variable \( Z=-x+2 y \). Find \( F(z), P(3 \leq z \leq 4) \).