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EE302 Homework #4
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Assigned 2/21/10, Due 3/5/10 (by 4:30 in dropbox in MSEE 330)
1. Text, problem 3.42, page 134.
let
denote the number of heads. Then is a linear
functionof
andthemeanandvariance of canbefoundintermsofthemeanandvariance
of
(the latter is a binomial random variable with mean and variance that can be found
from the text)
2. Text, problem 3.43, page 134.
for part (a)
can be written as
Determine what is, and then evaluate
and ±nally
3. Repeat problem 3.43 where the hacker forgets which patterns he has tested, and selects the
next pattern with equal probability from all of the
bit patterns.
for part (a)
can be written as
Determine what is, and then evaluate
and ±nally
4. Dwightand Jim are having a snowball±ght.
and
are thepositions, in feet(to left and
right), which their respective snowballs land relative to the target. We have that Dwight²s
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 Spring '08
 GELFAND
 Normal Distribution, Variance, Probability theory, quantization error, Dwight s

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