3. (18 pts) Swor et al. studied the effectiveness of cardiopulmonary resuscitation (CPR) training in people over 55 years old. They compared the skill retention rates of subjects in this age group who completed a course in traditional CPR (T-CPR) instruction with those who received chest-compression only cardiopulmonary resuscitation (CC-CPR). Independent groups were tested three months after training. The table below shows the skill retention numbers in regard to overall competence as assessed by video ratings done by two video evaluators. (Swor et al., Resuscitation 2003, 58:177-185) If we define the following events as: Rated Overall A = a subject enrolled in the T-CPR course Competent T-CPR CC-CPR Total B = a subject enrolled in the CC-CPR course Yes 12 15 27 C = a subject was evaluated as competent No 15 14 29 D = a subject was evaluated as not competent Total 27 29 56 Is each of the following events is a true statement? If not, explain (1 sentence). a) P(AnC) = P(CNA); b) P(A) = P(AUC) + P(AUD); c) P(CNB) = P(C) x P(B); Find the following probabilities, and explain what they mean in words: d) P(A C): e ) P(C B); f) P(D): g) P(AS); h) Are A and B mutually exclusive, and/or independent? i) Are B and C mutually exclusive, and/or independent