A question in the "Categorical Data Analysis 2nd version" book.

4.29 in Chapter 4.

Please give a detailed answer with easy-to-read handwriting

4.29 Consider the class of binary models (4.8) and (4.9). Suppose that the standard cdf ([3 corresponds to a probability density function (it that is symmetric amund 0. a. Show that x at which 1r(x) = 0.5 is x = o:/,B. I). Show that the rate of change in (.10 when (id = 0.5 is 31:50]). Show this is 0.25.3 for the logit link and its/#27: (where ii = 3.14...) fur the prohit link. 1:. Show that the probit regression curve has the shape of a normal cdf with mean a/B and standard deviation 1/ IBI