In a sales effectiveness seminar, a group of sales represenatives tried two approaches to selling a customer an automobile. The aggressive approach and the passive approach. For 1160 customers, the following record was kept:   Sales No sales Row total Aggressive 270 310 580 Passive 416 164 580 Column total 686 474 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 = sales, n = no sales. 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) (B)Are the events S= sale and pa =passive approach independent? explain (C)Compute P(A and S) and P(Pa and S) (D)Compute P(N) and P(N|A) (E)Are the events N=no sale and a = aggressive approach independent? Explain (F)Compute P(A or S)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter0: Preparing For Algebra
Section0.11: Simple Probability And Odds
Problem 13E
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In a sales effectiveness seminar, a group of sales represenatives tried two approaches to selling a customer an automobile. The aggressive approach and the passive approach. For 1160 customers, the following record was kept:

 

Sales

No sales

Row total

Aggressive

270

310

580

Passive

416

164

580

Column total

686

474

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 = sales, n = no sales. 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)

(B)Are the events S= sale and pa =passive approach independent? explain

(C)Compute P(A and S) and P(Pa and S)

(D)Compute P(N) and P(N|A)

(E)Are the events N=no sale and a = aggressive approach independent? Explain

(F)Compute P(A or S)

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