2. (G: 3 credit hours) Given that the probabilities of success for the treatment and the control group are N1 and g, respectively. (a) Show by deriving that T : (1) 1 7T 2 + \"\"295 liL where 7' = 1: is the relative risk and gt] 2 1271 is the odds ratio for success in the treatment l1rr2 group compared to the control group. (b) Use any software of your choice (or desrnos, online graphical calculator) to plot 1" as a function of 6' for 1T2 : 0.1, 0.3, 0.5.0.7, 0.9 (overlapped in the same plot). Comment on the comparison of their values