where Yi measures yearly future earnings in Canadian dollars, Pi is a dummy variable equal to one if respondent i attended private school (treatment group) and zero if attended public school (control group). i is the error term. a) Use potential outcomes notation (Y1i,YOi) and conditional sample averages to derive the selection bias associated with this treatment-control group comparison. ONLY ANSWER B & C b)Suppose you collect some observational data and estimate equation (5). The non-randomness of th decision to attend a prestigious private school complicates the causal interpretation of the coefficient of interest. Give two examples of a non-random reason to attend private school that may result in (hat) /= . Next consider Table 2 below, which includes observational data on future earnings (including unobserved counterfactual earnings) and non-random treatment status for a sample of 4 people. person 1 person 2 person 3 person 4 Actual (observed) future earnings (Yi) $100,000 $115,000 $60,000 $85,000 Potential outcome with private school (Y1i) $100,000 $115,000 $ 65,000 $85,000 Potential outcome with public school (YOi) $100,000 $105,000 $60,000 $75,000 Private school attendance(Pi) 1 0 1 c) Suppose you estimate in equation (5) using Table 2 data. Using your answer from question (12), calculate the selection bias associated with this estimate