2. (G: 3 credit hours) Given that the probabilities of success for the treatment and the control group are an and g, respectively. (a) Show by deriving that d) T: 1W2+''25 (1) _"'71_ where 'r = :7: is the relative risk and gt 2 171:1 is the odds ratio for success in the treatment lTrg group compared to the control group. (b) Use any software of your choice (or desrnos, online graphical calculator) to plot 7' as a function of 6' for 71'2 : 0.1, 0.3, 0.5.0.7, 0.9 (overlapped in the same plot). Comment on the comparison of their values