This preview shows pages 1–2. Sign up to view the full content.
±
i
±²
Hint:
12
3
3
1
1
2
X
Xi
x
i
nn
n
n
n
ECE302 Homework #2
±
±±
²
²
²²
±
∩
∩ ∩³³³∩
 ³³³³³
 ∩³³³∩
+
1
( )= exp( )
1
5
13
15
5
()=
1
2
= 1012345
5
Pr(
) =Pr( )
Pr( ) Pr( )
)=Pr( )Pr(
)
)
kk
n
±
±
n
X
X
X
fx k
x
,
x .
k
X<
<X .
X<.
X.
X
p x k
, x
,,,,,,.
k.
A,B
C
AB C
A
S,²,A
S
²
A
AB
A
,
B
AA
A
A
A
A
A
A
A
Assigned 1/24/10, Due 2/5/10 (by 4:30 in dropbox in MSEE 330)
1. Text, problem 2.102, p. 91.
given that
errors have occured in operations,
each error can be further broken down according to a Bernouilli trial, with probability that
it is type 1, and probability
that it is type
2. Anabsentmindedprofessor has keysinhispocketof whichonlyone (hedoesnot remember
which one) ±ts his oﬃce door. He picks a key at random and tries it on his door. If that does
not work, he picks a key again to try, and so on until the door unlocks. Let
denote the
number of keys that he tries. Find the pmf of in the following two cases:
(a) A key that does not work is put back in his pocket so that when he picks another key,
all n keys are equally likely to be picked (sampling with replacement).
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
 Spring '08
 GELFAND

Click to edit the document details