In a school, three subject teachers English, Math, and Science sometimes give surprise tests on the…

In a school, three subject teachers English, Math, and Science sometimes give surprise tests on the same day. Based on past records: • The English teacher gives a test 90% of the time • The Math teacher gives a test 80% of the time • The Science teacher gives a test 70% of the time Each teacher decides independently. If the average number of surprise tests is less than 2.3 then the teachers should coordinate better to increase the performance of the students. Otherwise, no action is needed. Let $X$ be the number of surprise tests a student gets on a given day. So, $X \in \{0,1,2,3\}$. (Application)