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 260 320 580 Passive 466 114 580 Column Total 726 434 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. 1. Compute P(S), P(S | A), and P(S | Pa). (Enter your answers as fractions.) P(S) = ___ P(S | A) = ___ P(S | Pa) = ___   2. Are the events S = sale and Pa = passive approach independent? Explain. a. No. The two events cannot occur together. b. Yes. P(S) = P(S | Pa).    c. No. P(S) ≠ P(S | Pa). d. Yes. The two events can occur together. (c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) P(A and S) = ______ P(Pa and S) = _____

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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 260 320 580
Passive 466 114 580
Column Total 726 434 1160

Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for eventsA = 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.

1. Compute P(S), P(S | A), and P(S | Pa). (Enter your answers as fractions.)
P(S) = ___
P(S | A) = ___
P(S | Pa) = ___
 
2. Are the events S = sale and Pa = passive approach independent? Explain.
a. No. The two events cannot occur together.
b. Yes. P(S) = P(S | Pa).   
c. No. P(S) ≠ P(S | Pa).
d. Yes. The two events can occur together.

(c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.)
P(A and S) = ______
P(Pa and S) = _____
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
260
320
580
Passive
466
114
580
Column Total
726
434
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) = 5/8
P(S | A) =
P(S | Pa) =
(b) Are the events S = sale and Pa = passive approach independent? Explain.
O No. The two events cannot occur together.
Yes. P(S) = P(S | Pa).
O No. P(S) * P(S | Pa).
O Yes. The two events can occur together.
(c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.)
P(A and S) =
P(Pa and S) =
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 260 320 580 Passive 466 114 580 Column Total 726 434 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) = 5/8 P(S | A) = P(S | Pa) = (b) Are the events S = sale and Pa = passive approach independent? Explain. O No. The two events cannot occur together. Yes. P(S) = P(S | Pa). O No. P(S) * P(S | Pa). O Yes. The two events can occur together. (c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) P(A and S) = P(Pa and S) =
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Required probability is P(S)

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