For the logistic regression model with 3 > 0, show that (a) as x , (x) is monotone increasing, and (b) the curve for

For the logistic regression model with 3 > 0, show that (a) as x → ∞, π(x) is monotone increasing, and (b) the curve for π(x) is the cdf of a logistic distribution having mean – α/β and standard deviation π/(|β|√3/).