## Question

###### In a sales effectiveness seminar, a group of salesrepresentatives tried two approaches to selling a customer a newautomobile: the aggressive approach and the passive approach. For1160 customers, the following record was kept: Sale No Sale Row Total Aggressive 256324580Passive 480100580Column Total 7364241160Suppose a customer is selected at random from the 1160participating customers. Let us use the following notation forevents: A = aggressiveapproach, Pa = passiveapproach, S = sale, N = nosale.

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 256 324 580 Passive 480 100 580 Column Total 736 424 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. No. P(S) â‰ P(S | Pa). Yes. P(S) = P(S | Pa). Yes. The two events can 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 N = no sale and A aggressive approach independent? Explain. Yes. The two events can occur together. Yes. P(N) = P(N | A). No. The two events cannot occur together. No. P(N) â‰ P(N | A). (f) Compute P(A or S). (Enter your answer as a fraction.) P(A or S) =