# Interpreting What Data Means

I am currently working on a problem from my statistics class. It is as follows:

The only one I had difficulty quantifying with words was problem f). How would I do that?

Also, I had originally assumed the three events were disjoint; but, by looking at the question again, I found that they aren't, because of the last piece of information given--the intersection of all of the events. I am having a hard time understanding how they are not disjoint. How can these particular three events have something in common? It just seems odd.

-

As for the one you were having trouble interpreting, we have $$(A_1' \cap A_2') \cup A_3.$$ $A_1'$ means they did not get Project 1, similarly for $A_2'$. So this statement says "They failed to get both Project 1 and Project 2, or they got Project 3." And remember that the "or" is not exclusive.
Well, how do we account for the fact, in your explanation, that $A_3$ contains portions of $A_1$ and $A_2$? – Mack Jan 26 '13 at 18:47