(Solved):   1. Discrete distribution for \( X \) is given by the following table: \begin{ta ...

 

1. Discrete distribution for \( X \) is given by the following table: \begin{tabular}{|l|c|c|c|c|c|} \hline Probabilities \( p \) & \( 0.1 \) & \( 0.2 \) & \( 0.4 \) & \( 0.2 \) & \( 0.1 \) \\ \hline Values \( X \) & 30 & 50 & 60 & 70 & 90 \\ \hline \end{tabular} Find distribution function \( f(X) \) and median \( M e(X) \). Calculate mathematical expectation (the mean) \( M(X) \), variance (dispersion) \( D(X) \) and standard deviation \( \sigma(X) \).