Let x be chosen uniformly from the interval [-1, +1], and the labels, y, from the set { 0, 1}. We are given the following conditional probabilities for all x and y: Pr(1 | x) = 0, 2 = x + x E = 1, x E + Pr(0 | x) = 1, 2 1 = -x + 2' x E 2 = 0, The question: what is the Bayes error of the Bayes classifier relating to this model? a. 0.45 O b. 0.5 О с. 0
Let x be chosen uniformly from the interval [-1, +1], and the labels, y, from the set { 0, 1}. We are given the following conditional probabilities for all x and y: Pr(1 | x) = 0, 2 = x + x E = 1, x E + Pr(0 | x) = 1, 2 1 = -x + 2' x E 2 = 0, The question: what is the Bayes error of the Bayes classifier relating to this model? a. 0.45 O b. 0.5 О с. 0
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![Let x be chosen uniformly from the interval [-1, +1], and the labels, y, from the set { 0, 1}. We
are given the following conditional probabilities for all x and y:
Pr(1 | x) = 0,
-1, –
1
= x +
1
1
+
1
= 1,
x E +
+1
Pr(0 | x) = 1,
-1,-
1
= -x +
2'
1
1
1
= 0,
x E |+
+1
The question: what is the Bayes error of the Bayes classifier relating to this model?
а.
0.45
O b. 0.5
О с. 0
O d. 0.125
+
- IN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8aca8a48-2311-440a-95ca-2787608ca55c%2F799207ad-714a-4583-9c52-cd3894dde965%2F82zf8xb_processed.png&w=3840&q=75)
Transcribed Image Text:Let x be chosen uniformly from the interval [-1, +1], and the labels, y, from the set { 0, 1}. We
are given the following conditional probabilities for all x and y:
Pr(1 | x) = 0,
-1, –
1
= x +
1
1
+
1
= 1,
x E +
+1
Pr(0 | x) = 1,
-1,-
1
= -x +
2'
1
1
1
= 0,
x E |+
+1
The question: what is the Bayes error of the Bayes classifier relating to this model?
а.
0.45
O b. 0.5
О с. 0
O d. 0.125
+
- IN
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