Compute the probability of error P for the MAP e decision rule. Enter your answer with three decimal places.
Compute the probability of error P for the MAP e decision rule. Enter your answer with three decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:QUESTION 7
Compute the probability of error P
e
for the MAP
decision rule. Enter your answer with three decimal
places.
![For questions 1-7, assume the
problem is stated as follows: We
have a binary detection problem
with two hypotheses: H and H
We observe a random variable y,
0
and we are given the conditional
probabilities of y as
Y|H
f.
Y|H
1
(y) = 0.5, y = [1,1]; 0 otherwise.
(y) = 1 lyl, y = [1,1]; 0 otherwise.
-0.5
The two densities are shown in the
figures below.
16
14
12
1
OB
0.6
0.4
-
0.2
05
45
12
08
06
04
1°
02)
05](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40fe84d1-bf70-4a1c-beb8-24b206cbd90b%2F8915d150-23ce-41a9-809f-29ae7ee61adb%2Fzjlofm9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For questions 1-7, assume the
problem is stated as follows: We
have a binary detection problem
with two hypotheses: H and H
We observe a random variable y,
0
and we are given the conditional
probabilities of y as
Y|H
f.
Y|H
1
(y) = 0.5, y = [1,1]; 0 otherwise.
(y) = 1 lyl, y = [1,1]; 0 otherwise.
-0.5
The two densities are shown in the
figures below.
16
14
12
1
OB
0.6
0.4
-
0.2
05
45
12
08
06
04
1°
02)
05
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