In a sales effectiveness seminar, a group of sales representatives tried two app

Question

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. Compute P(S), P(S | A), and P(S | Pa). (Enter your answers as fractions.) P(S) = P(S/A) = P(S/Pa) = Are the events s = sale and Pa = passive approach independent? Explain. No. the two events cannot occur together. Yes. The two events can occur together. Yes. P(S) = P(S I Pa). No. P(S) = P(S I Pa). Compute P(A and S) and P(Pa and S) (Enter your answer as fractions.) P(A and S) = P(Pa and S) = Compute P(N) and P(N | A). (Enter your answers as fractions.) P(N) = p(N/A) = Are the events N = no sale and A aggressive approach independent? Explain.

Explanation / Answer

Result:

a).

P(S) =752/1160

P(S/A) =254/580

P(S/Pa) =498/580

c).

P( A and S) =254/1160

P( Pa and S) =498/1160

d).

P(N) =408/1160

P(N/A) =326/580

e). N and A are not independent because P(N) P( N/A)

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