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 1,160 customers, the following record was kept: Aggressive Passive Sale No Sale Row Total 287 293 580 440 140 580 Column Total 727 433 1,160 Suppose a customer is selected at random from the 1,160 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). (Enter your answers as fractions.) P(S) = P(S|A) = P(S|Pa) = (b) Are the events S = sale and Pa = passive approach independent? Explain. Yes. P(S) = P(S| Pa). No. The two events cannot occur together. O No. P(S) P(S| Pa). Yes. The two events can 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. No. P(N) + P(N | A). Yes. P(N) = P(N | A). No. The two events cannot occur together. (f) Compute P(A or S). (Enter your answer as a fraction.) P(A or S) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU

See similar textbooks

Related questions

Question

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 1,160 customers, the following record was kept: Suppose a customer is selected at random from the 1,160 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). (Enter your answers as fractions.) b) Are the events S = sale and Pa = passive approach independent? Explain. c) Compute P(A and S) and P(Pa and S). (Enter your answers as fractions.) d) Compute P(N) and P(N | A). (Enter your answers as fractions.) e) Are the events N = no sale and A aggressive approach independent? Explain. f) Compute P(A or S). (Enter your answer as a fraction.)