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

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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(N) and P(N | A). (Enter your answers as fractions.)

P(N) = 
P(N | A) = 
 
2. Are the events N = no sale and A aggressive approach independent? Explain.
 
a. No. The two events cannot occur together.
b.Yes. The two events can occur together.    
c. No. P(N) ≠ P(N | A).
d. Yes. P(N) = P(N | A).

3. Compute P(A or S). (Enter your answer as a fraction.)
 
P(A or S) = 
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