<p>2002 exam #23:
Which of the following statements is true for two events, each with probability greater than 0.</p>
<p>a) if the events are mutually exclusive, they must be independent.
b) if the events are independent, they must be mutually exclusive.
c) if the events are not mutually exclusive, they must be independent.
d) if the events are not independent, they must be mutually exclusive.
e) if the events are mutually exclusive, they cannot be independent.</p>
<p>Answer and why plz/</p>
<p>Well, here is the actual link- [Released</a> AP Statistics Exam 2002 - Fullscreen](<a href=“http://www.scribd.com/full/14255151?access_key=key-2528po1bluqi4v1h6jbm]Released”>http://www.scribd.com/full/14255151?access_key=key-2528po1bluqi4v1h6jbm) to the 2002 MC Test w/ answers But i don’t know why 23 is E , b/c i have too much of a sucky teacher.</p>
<p>the answer is E because if the events are mutually exclusive, they cannot occur at the same time
ex/ if Event A occurs, the probability of Event B is 0
because Event A can influence the prob of Event B, then the two are dependent (or not independent)
it’s a common idea (that my stats teacher drilled into my head) that mutually exclusive events are not independent</p>
<p>hope that helps</p>
<p>Oh, how coincidental. I went to a Stats study session yesterday and my teacher explained it. He’s awesome :D</p>
<p>He struggled with this one, and he knows his stuff (is finishing his doctorate in Math sometime soon, I think). Let’s start with definitions: mutually exclusive means that two events cannot happen at the same time, while independency suggests that two events do not affect one another. If mutually exclusive events are also independent, that means that one event has to be 0 and one event has to be 1 because P(A and B)= P(A) * P(B) for independent events, and because P(A and B) CANNOT occur under mutually exclusive, either P(A) or P(B) must be 0 because anything times 0 is, well, 0. If both events have probabilities greater than 0, then that MUST mean for mutually exclusive events, they are dependent. The other answers are wrong because they are not necessarily true–E is really the only one that applies.</p>
<p>I hope that makes sense! :)</p>