Question: 3. Consider a logistic regression problem in which there are no features, which means that: Pr(Y = 1) = 1 +80 Assume that we have

3. Consider a logistic regression problem in which there are no features, which means that: Pr(Y = 1) = 1 +80 Assume that we have m data points with label Y = 1 and n data points with label Y = 0 (remember that features are irrelevant). (a) Write down the likelihood function ( o). (b) Find the Maximum Likelihood estimateS o for this data set. Hint: maximize loge l o)] (c) Determine conditions under which this simple classifier classifies data points into Y = 1 or Y = 0

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