Please, help with this. The book is "A Modern Approach to Regression" from Simon J. Sheather.

Question 2 [5+5=10 points]: On page 285 of the text, it says "When X is a dummy variable, it can be shown that the log odds are also a linear function of x." Suppose that X is a dummy variable, taking the value 1 with probability nj, j = 0, 1, conditional on Y = 0, 1. (a) Show that the log odds are a linear function of r. (b) Define the slope and intercept for the linear function