(e) is from the west, given that he o (f) is from the south, given that he or she has been loyal less than 1 year? (g) has been loyal 1 or more years, given that he or she is from the East? (h) has been loyal I or more years, given that he or she is from the West? (i) Are the events "from the East" and "loyal 15 or more years" independent? Mult Explain. 31. Survey: Sales Approach In a sales effectiveness seminar, a group of sales representatives tried two approaches to selling a customer a new automobil the aggressive approach and the passive approach. For 1160 customers, the following record was kept: Sale No Sale Row Total Aggressive 270 310 580 Passive 416 164 580 Column Total 686 474 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). (b) Are the events S = sale and Pa = passive approach independent? Explain. (c) Compute P(A and S) and P(Pa 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). %D %3D

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.