Question: 3) Let P(Y = 1) = 1 - P(Y = 0) = p. For the population of subjects having Y=j, X has a probability density

3) Let P(Y = 1) = 1 - P(Y = 0)

3) Let P(Y = 1) = 1 - P(Y = 0) = p. For the population of subjects having Y=j, X has a probability density function f;(x) = 1; exp(-1;x), x 20,j = 0,1. a) Show that 17(x) = P(Y = 1|x) satisfies the logistic regression model with some a and . (7 points) 3) Let P(Y = 1) = 1 - P(Y = 0) = p. For the population of subjects having Y=j, X has a probability density function f;(x) = 1; exp(-1;x), x 20,j = 0,1. a) Show that 17(x) = P(Y = 1|x) satisfies the logistic regression model with some a and . (7 points)

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