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:

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).
(b) Are the events S = sale and Pa = passive approach independent? Explain.
(c) Compute P(A and S) and P(Pa and S).
(d) Compute P(N) and P(N | A).
(e) Are the events N = no sale and A = aggressive approach independent? Explain.
(f) Compute P(A or S).

Transcribed Image Text:

Aggressive Passive Column Total Sale No Sale Row Total 270 416 686 310 164 474 580 580 1160