Let X,,X,be two real-valued features and Y be a Boolean-valued function of the given features such that the Gaussian Naïve-Bayes assumptions are satisfied. Suppose 1 P(Y/X,x,) = . Assume thatP (X,/Y = 0) = N(1.0,,) and 1+exp (-0.1-0.2x,-0.3X,) P(X,/Y = 1) = N(2.0,0,). Similarly P(X2/Y = 0) = N(1.0,02)and P(X,/Y = 1) = N(2.0, o,). Calculate the standard deviationso, and o, and the probability P(Y = 1).

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Let X,,X,be two real-valued features and Y be a Boolean-valued function of the given
features such that the Gaussian Nave-Bayes assumptions are satisfied. Suppose
P(Y/x,x) =
1
. Assume thatP (X,/Y = 0) = N(1.0,o,) and
1+exp (-0.1-0.2x,-0.3X,)
P(X,/Y = 1) = N(2.0,01). Similarly P(X,/Y = 0) = N(1.0,02)and P(X,/Y = 1) =
N(2.0, o2). Calculate the standard deviationso, and o, and the probability P(Y = 1).
%3D
Transcribed Image Text:Let X,,X,be two real-valued features and Y be a Boolean-valued function of the given features such that the Gaussian Nave-Bayes assumptions are satisfied. Suppose P(Y/x,x) = 1 . Assume thatP (X,/Y = 0) = N(1.0,o,) and 1+exp (-0.1-0.2x,-0.3X,) P(X,/Y = 1) = N(2.0,01). Similarly P(X,/Y = 0) = N(1.0,02)and P(X,/Y = 1) = N(2.0, o2). Calculate the standard deviationso, and o, and the probability P(Y = 1). %3D
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