H ADM 201: Homework I
Due Friday, February 10, 2006. 2:00 pm
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H ADM 201, Section 1. (Mondays 4:40 PM: Michelle Tong)
H ADM 201, Section 2. (Mondays 7:40 PM: Michelle Tong)
H ADM 201, Section 3. (Tuesdays 4:30 PM: Melanie Pope)
H ADM 201, Section 4. (Tuesdays 7:40 PM: Melanie Pope)
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View Full DocumentH ADM 201
Homework 1
Spring 2006
For questions 1 and 2, evaluate whether the statements are true or false. If false, provide
an example which contradicts the statement.
Question 1.
If two events are mutually exclusive, then they are also independent.
Answer:
False, mutually exclusive events mean that when one occurs it is impossible for
the other one to occur.
Therefore they are highly dependent upon one another, since if
one event occurs, now the probability of the other event goes to 0. (Remember, two
events are independent if the occurrence of one event does not change the probability the
other event occurs).
An example would be tossing a fair coin.
Flipping a head is a
mutually exclusive event from flipping a tail.
If you get a head then the probability of
getting a tail goes to 0.
Question 2.
If two events are independent, then they are also mutually exclusive.
Answer:
False, when two events are independent they do not bear any influence upon the
outcome of another.
This does not necessarily mean that they are mutually exclusive.
For example, wearing shoes and throwing a dice are two independent events.
However,
wearing shoes can occur at the same time as throwing a dice, so they are not mutually
exclusive.
Question 3.
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 Spring '06
 RLLOYD
 Conditional Probability, Probability, Mean, Probability theory, ADR index

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