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: Aggressive 276 Sale No Sal 304 112 580 580 Passive 468 umn Total 744 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 PS), PYS I A), and PS | Pa). (Enter your answers as fractions.) P(S) P(S | Pa)- (b) Are the events s- sale and Pa-passive approach independent? Explain. No. P(S)PCs iPa o Yes. P(S) -PKS 1 Pa) O Yes. The two events can occur together O No. The two events cannot occur together (c) Compute PA and S) and P(Pa and S). (Enter your answers as fractions.) PIA and S)- PKPa and S) - (d) Compute P(N) and P(N A). (Enter your answers as fractions.) P N) (e) Are the events N no sale and A aggressive approach independent? Explain. O Yes. P(N)PN I A) O No. P(N) P(N I A) No. The two events cannot occur together Yes, The two events can occur together () Compute P(A or S). (Enter your answer as a fraction.) P(A or S)

Explanation / Answer

The answers are as shown below: -

a)

P(S)=744/1160=0.64

P(S | A)=276/580=0.475862

P(S | Pa)=468/580=0.806897

b)

Yes. The two events can occur together

c)

P(A and S)=276/1160=0.237931

P(Pa and S)=468/1160=0.403448

d)

P(N)=416/1160=0.358621

P(N | A)=304/580=0.524138

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