EE 278
Handout #10
Statistical Signal Processing
Wednesday, July 22, 2009
Midterm
This is a 1 hour and 45 minute exam. The exam is open everything except for laptop
and internet connection. The total number of points is 80. Please begin each problem
solution on a new page. In solving the problems you can use any results from the lecture
notes or homeworks without providing derivations.
1. (25 points)
Inequalities
Label each of the following statements with =,
≤
,
≥
or NONE. Label a statement
with = if equality always holds.
Label a statement with
≥
or
≤
if strict inequality
is possible. If no such equality or inequality holds in general, label the statement as
NONE. Justify your answers. You may receive partial credit if your justification is not
correct.
(a) (4 points)
P
(
A
) vs. min
{
P
(
A

B
)
, P
(
A

B
c
)
}
.
(b) (3 points)
F
XY
(
x, y
) vs.
F
X
(
x
).
(c) (3 points)
E
X
2
1
X
2
1
+
X
2
2
vs.
1
2
if
X
1
and
X
2
are independent and identically dis
tributed with mean 0 and variance 1.
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 Spring '09
 Eggers

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