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 1160 customers, the following record was kept: Sale No Sale Row Total Aggressive 262 318 580 Passive 471 109 580 Column Total 733 427 1160 Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: A - aggressive approach, Pa - passive approach, S - sale, I = 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) - X P(S ] A) = P(S | Pa) - (b) Are the events S = sale and Pa = passive approach independent? Explain. No. P(S) - P(S | Pa). Yes. P(S) = P(S | Pa). Yes. The two events can occur together. O No. The two events cannot occur together. (c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) P(A and S) - P(Pa and S) - (d) Compute P(N) and P(N | A). (Enter your answers as fractions.) P(N) - P(N [ A) = (e) Are the events / = no sale and A aggressive approach independent? Explain