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EE302 Homework #1
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S
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16
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Assigned 1/11/10, Due 1/22/10 (by 4:30 in dropbox in MSEE 330)
1. A space
is de±ned as
and three subsets as
Assumethateachelementhas probability
Findthefollowing
probabilities:
(a)
(b)
(c)
(d)
(e)
(f)
2. A pair of dice are rolled.
(a) What is the probability space
(b) Determine the probability of each of the following events:
i. The sum of the rolls is even.
ii. The ±rst roll is equal to the second.
iii. The ±rst roll is larger than the second.
(c) Are the events {the sum of the rolls is even} and {the ±rst roll is equal to the second}
mutually exclusive? collectively exhaustive? 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. Di²erent switches work independently. Suppose a switch is
selected at random with equal probability from the box.
(a) Find the probability that the selected switch works
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This note was uploaded on 09/14/2010 for the course ECE 302 taught by Professor Gelfand during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 GELFAND

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