In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobile: the aggressive approach and the passive approach. For 1,160 customers, the following record was kept: Sale No Sale Row Total Aggressive 263 317 580 Passive 413 167 580 Column Total 676 484 1,160 Suppose a customer is selected at random from the 1,160 participating customers. Let us use the following notation for events: A = aggressive approach, Pa = passive approach, S = sale, N = no sale. So, P(A) is the probability that an aggressive approach was used, and so on. (a) Compute P(S), P(S| A), and P(S| Pa). (Enter your answers as fractions.) P(S) = P(S|A) = Enter an exact value instead of a rounded value. P(S| Pa) = x Enter an exact value instead of a rounded value. (b) Are the events S = sale and Pa = passive approach independent? Explain. Yes. P(S) = P(S| Pa). No. The two events cannot occur together. Yes. The two events can occur together. No. P(S) P(S| Pa). x (c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) P(A and S) = Enter an exact value instead of a rounded value. P(Pa and S) = (d) Compute P(N) and P(N | A). (Enter your answers as fractions.) P(N) = x P(N | A) = Enter an exact value instead of a rounded value. (e) Are the events N = no sale and A aggressive approach independent? Explain. No. The two events cannot occur together. Yes. P(N) = P(N | A). Yes. The two events can occur together. No. P(N) P(N | A). (f) Compute P(A or S). (Enter your answer as a fraction.)