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 275 305 580 Passive 465 115 580 Column Total 740 420 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, 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 ) = P(S | Pa ) = (b) Are the events S = sale and Pa = passive approach independent? Explain. No. The two events cannot occur together. O No. P (S ) # P(S | Pa ) . Yes. The two events can occur together. Yes. P(S) = P(S | Pa). (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. No. The two events cannot occur together. Yes. The two events can occur together. No. P( N) # P(N | A ). Yes. P ( N) = P(N | A ). (f) Compute P(A or S). (Enter your answer as a fraction.) P(A or S) =