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 278 302 580
Passive 493 87 580
Column Total 771 389 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),=
P(S | Pa). =
(Enter your answers as fractions.)
(b) Are the events S = sale and Pa = passive approach independent? Explain.
Yes. P(S) = P(S | Pa).
No. P(S) ≠ P(S | Pa).
Yes. The two events can occur together.
No. The two events cannot 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) =
(d) Compute P(N) and P(N | A). (Enter your answers as fractions.)P(N) = P(N | A) =
(e) Are the events N = no sale and A aggressive approach independent? Explain.
Yes. The two events can occur together.
Yes. P(N) = P(N | A).
No. The two events cannot occur together.
No. P(N) ≠ P(N | A).
(f) Compute P(A or S). (Enter your answer as a fraction.)
P(A or S) =