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	466	114	580
Column Total	721	439	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) ComputeP(S),P(S|A), andP(S|Pa). (Enter your answers as fractions.)

P(S) =

P(S|A) =

P(S|Pa) =

(b) Are the eventsS= sale andPa= passive approach independent? Explain. Yes.P(S) =P(S|Pa).Yes. The two events can occur together.No.P(S)P(S|Pa).No. The two events cannot occur together. (c) ComputeP(A and S) andP(Pa and S). (Enter your answers as fractions.)

P(A and S) =

P(Pa and S) =

(d) ComputeP(N) andP(N|A). (Enter your answers as fractions.)

P(N) =
P(N|A) =

(e) Are the eventsN= no sale andAaggressive approach independent? Explain. No. The two events cannot occur together.No.P(N)P(N|A).Yes. The two events can occur together.Yes.P(N) =P(N|A). (f) ComputeP(A or S). (Enter your answer as a fraction.) P(AorS) =