A car producer stocks three types of tires: A, B, and C. Let P(A) = 0.40, P(B) = 0.15 and P(C) = 0.45. The percentage of defective tires is 2%, 1% and 5%, respectively. Someone picks a tire off the shelf at random and it is Brand A. If you want to know the probability that it is a defective tire (event D), which form of Bayes' rule would you use? a.) P left parenthesis D vertical line A right parenthesis equals fraction numerator P left parenthesis A vertical line D right parenthesis P left parenthesis A right parenthesis over denominator P left parenthesis D right parenthesis end fraction b.) P left parenthesis A vertical line D right parenthesis equals fraction numerator P left parenthesis D vertical line A right parenthesis P left parenthesis D right parenthesis over denominator P left parenthesis A right parenthesis end fraction c.) P left parenthesis D vertical line A right parenthesis equals fraction numerator P left parenthesis A vertical line D right parenthesis P left parenthesis D right parenthesis over denominator P left parenthesis A right parenthesis end fraction d.) P left parenthesis A vertical line D right parenthesis equals fraction numerator P left parenthesis D vertical line A right parenthesis P left parenthesis A right parenthesis over denominator P left parenthesis D right parenthesis end fraction