Applied Statistics and Probability for Engineers, 6th Edition

Published by Wiley
ISBN 10: 1118539710
ISBN 13: 978-1-11853-971-2

Chapter 2 - Section 2-1 - Sample Spaces and Events - Exercises - Page 27: 2-25

Answer

S={{0, 0, 0}, {1, 1, 1}, {1, 1, 0}, {1, 0, 0}} a) A = {1, 1, 1} b) B = {0, 0, 0} c) A∩B = {Ø} d) A∪B = {{1, 1, 1}, {0, 0, 0}}

Work Step by Step

Denote that 1 is positive and 0 is negative. So we have: a) A = {1, 1, 1} because a replication is observed in 3 cells that all positive b) B = {0, 0, 0} because a replication is observed in 3 cells that all negative c) A∩B = {Ø} because A and B are independent variables. d) A∪B = {{1, 1, 1}, {0, 0, 0}} . A and B are independent variables so A∪B equal to the value of A and B.
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