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 255 325 580 Passive 500 80 580 Column Total 755 405 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) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) P(A and S)= P(Pa and S) = (c) 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 255 325 580
Passive 500 80 580
Column Total 755 405 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) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.)
P(A and S)=
P(Pa and S) =
(c) Compute P(N) and P(N | A). (Enter your answers as fractions.)
P(N) =
P(N | A) =
 
Expert Solution
Step 1

Given,

A = aggressive approach, 

Pa = passive approach,

 S = sale, 

N = no sale

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