Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 4

Survey: Sales Approach In a sale effectiveness seminar, a group of sale 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:

Suppose a customer is selected at random from the 1160 participating customers. Let us use the following notation for events: A = aggressive approach, P a = 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 | P a ).
(b) Are the events S = Sale and P a = passive approach independent Explain.
(C) Compute P ( A and S ), and P ( P a 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 ).