represented by a scalar x with Gaussian class-conditional probability density functions (pdf) p(x | wi)~ N(14, 07) (1 ≤i≤3). Specifically, we have 141=-1, 142=0, s= 2 and 1=2, 021, 03 = 3. Please answer the following questions: a) In case of minimum-error-rate classification, which state of nature should we decide for x-1.5? b) Suppose we have a set of two possible actions A={a₁, 2) with the following loss function: Action Class α = α1 x=82 W=11 5 10 w = wa 10 30 W=W3 20 3 For an observation x with value 0.5, which action should we apply on x?
represented by a scalar x with Gaussian class-conditional probability density functions (pdf) p(x | wi)~ N(14, 07) (1 ≤i≤3). Specifically, we have 141=-1, 142=0, s= 2 and 1=2, 021, 03 = 3. Please answer the following questions: a) In case of minimum-error-rate classification, which state of nature should we decide for x-1.5? b) Suppose we have a set of two possible actions A={a₁, 2) with the following loss function: Action Class α = α1 x=82 W=11 5 10 w = wa 10 30 W=W3 20 3 For an observation x with value 0.5, which action should we apply on x?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.EA: Extended Application Medical Diagnosis
Problem 3EA
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