Решение задачи N3882 теория вероятностей Байеса

3882. To signal that the automatic line mode deviates from the normal, an indicator is used. It belongs with probabilities 0,2; 0.3; 0.5 to one of three types for which the probabilities of operation are equal respectively to 1; 0.75; 0.4. From the indicator received a signal. What type of indicator is most likely to belong to?

Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)