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1 question from Logistic Regression & Softmax

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Question 1: Short answer

mediumAI-checkedLogistic Regression & Softmax

A one-dimensional logistic regression P(y=1∣x)=g(w0+w1x)P(y = 1 \mid x) = g(w_0 + w_1 x), with g(z)=1/(1+e−z)g(z) = 1/(1 + e^{-z}), is fit by maximum likelihood to three points: x=−1x = -1 with y=0y = 0, x=0x = 0 with y=1y = 1, and x=1x = 1 with y=0y = 0. What is the fitted P(y=1∣x=0)P(y = 1 \mid x = 0)?

a probability, 3 decimals