MathProblemsBank

20.5 Mathematical statistics

Problem: According to the results of a selective study the distribution of average milk yields from one cow per day in a farm (liters) was found. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline Interval & \begin{tabular}{c} \( 7,5- \) \\ 10,5 \end{tabular} & \begin{tabular}{c} \( 10,5- \) \\ 13,5 \end{tabular} & \begin{tabular}{c} \( 13,5- \) \\ 16,5 \end{tabular} & \begin{tabular}{c} \( 16,5- \) \\ 19,5 \end{tabular} & \begin{tabular}{c} \( 19,5- \) \\ 22,5 \end{tabular} & \begin{tabular}{c} \( 22,5- \) \\ 25,5 \end{tabular} & \begin{tabular}{c} \( 25,5- \) \\ 28,5 \end{tabular} & \begin{tabular}{c} \( 28,5- \) \\ 31,5 \end{tabular} & \begin{tabular}{c} \( 31,5- \) \\ 34,5 \end{tabular} \\ \hline \begin{tabular}{l} Number \\ of cows \end{tabular} & 2 & 6 & 10 & 17 & 33 & 11 & 9 & 7 & 5 \\ \hline \end{tabular} Find the probability \( P(15,4