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,...


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<br>customers, the following record was kept:<br>Sale<br>No Sale<br>Row Total<br>254<br>326<br>580<br>Aggressive<br>Passive<br>87<br>580<br>493<br>Column Total<br>413<br>747<br>1160<br>passive approach, S = sale, N = no sale.<br>Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: A =<br>aggressive approach, Pa =<br>So, P(A) is the probability that an aggressive approach was used, and so on.<br>(a) Compute P(S), P(S | A), and P(S | Pa). (Enter your answers as fractions.)<br>P(S) =<br>Enter a fraction, integer, or exact decimal. Do not approximate.<br>P(S | A) =<br>P(S | Pa) =<br>sale and Pa =<br>(b) Are the events S<br>passive approach independent? Explain.<br>No. P(S) + P(S | Pa).<br>Yes. P(S) = P(S | Pa).<br>Yes. The two events can occur together.<br>No. The two events cannot occur together.<br>(c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.)<br>P(A and S) =<br>%3D<br>P(Pa and S) =<br>(d) Compute P(N) and P(N | A). (Enter your answers as fractions.)<br>P(N)<br>P(N | A) =<br>(e) Are the events N = no sale and A aggressive approach independent? Explain.<br>Yes. The two events can occur together.<br>No. P(N) + P(N | A).<br>Yes. P(N) = P(N | A).<br>No. The two events cannot occur together.<br>(f) Compute P(A or S). (Enter your answer as a fraction.)<br>P(A or S) =<br>%3D<br>

Extracted text: 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 254 326 580 Aggressive Passive 87 580 493 Column Total 413 747 1160 passive approach, S = sale, N = no sale. Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: A = aggressive approach, Pa = 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) = Enter a fraction, integer, or exact decimal. Do not approximate. P(S | A) = P(S | Pa) = sale and Pa = (b) Are the events S passive approach independent? Explain. No. P(S) + P(S | Pa). Yes. P(S) = P(S | Pa). Yes. The two events can occur together. No. The two events cannot occur together. (c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) P(A and S) = %3D 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. No. P(N) + P(N | A). Yes. P(N) = P(N | A). No. The two events cannot occur together. (f) Compute P(A or S). (Enter your answer as a fraction.) P(A or S) = %3D

Jun 06, 2022
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