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: No Sale Row Total 580 Sale Aggressive 275 305 Passive 487 762 93 580 Column Total 398 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. O Yes. The two events can occur together. O No. The two events cannot occur together. O Yes. P(S) = P(S | Pa). O No. P(S) # P(S | Pa). (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) = |

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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
275
305
580
Passive
487
93
580
Column Total
762
398
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.
Yes. The two events can occur together.
No. The two events cannot occur together.
Yes. P(S) = P(S | Pa).
No. P(S) + P(S | Pa).
(c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.)
Р(A and S) -
%D
P(Pa and S) =
(d) Compute P(N) and P(N | A). (Enter your answers as fractions.)
P(N)
P(N | A) =
Transcribed Image 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 Aggressive 275 305 580 Passive 487 93 580 Column Total 762 398 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. Yes. The two events can occur together. No. The two events cannot occur together. Yes. P(S) = P(S | Pa). No. P(S) + P(S | Pa). (c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) Р(A and S) - %D P(Pa and S) = (d) Compute P(N) and P(N | A). (Enter your answers as fractions.) P(N) P(N | A) =
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