Question

6) Given a following table with the before and after results of students who think they pass a exam or not, Did pass Did not pass Guess pass Guess did not pass Did not answer a) Is guess pass result is independent from did not pass result? Please explain! b) Is guess pass result is disjoint from did not pass result? Please explain!

Answer 1

(a) Two processes are independent if knowing the outcome of one provides no useful information about the outcome of the other.

So independence is about processes not affecting each other.

As guess pass result will need the data from Did pass and Did not pass result, we can say that the guess pass result is not independent of did not pass result.

(b) Two events that are disjoint cannot happen at the same time.

So disjointness is about events happening at the same time.

As the guess pass and Did not pass can happen at the same time, we can say that the guess pass result is not disjoint of did not pass result.