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EE302 Homework #1
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Assigned 8/29/06, Due 9/7/06 (by 4:30 in dropbox in MSEE 330)
1. A space
is de ned as
and three subsets as
Assume that each element has probability
Find the following
probabilities:
(a)
(b)
(c)
(d)
(e)
(f)
2. Two fair coins are
ipped, and the
ips are independent..
(a) List all of the outcomes. How many outcomes are there?
(b) List all of the events. How many events are there?
(c) Find the probability one of the
ips is a head, and the probability that one of the
ips
is a tail.
(d) Find the probability that one of the
ips is a head and one of the
ips is a tail.
(e) Find the probability that one of the
ips is a head given one of the
ips is a tail
(f) Are the events {one of the
ips is a head} and {one of the
ips is a tail} mutually
exclusive? Are they independent? You must justify your answers.
3. Three intermittent switches
are in a box. Switches
and
work 75%, 50% and
25% of the time, respectively.
Different switches work independently.
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 Fall '08
 GELFAND
 Electronics, Information Theory, Probability, Following, switch, English Channel

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