An Introduction to Mathematical Statistics and Its Applications (6th Edition)

Published by Pearson
ISBN 10: 0-13411-421-3
ISBN 13: 978-0-13411-421-7

Chapter 2 Probability - 2.2 Sample Spaces and the Algebra of Sets - Questions - Page 19: 10

Answer

(a) S={(1,1),(1,2),(1,4),(2,1),(2,2),(2,4),(4,1),(4,2),(4,4)} (b) S={2,3,4,5,6,8}

Work Step by Step

(a) The list of the sample space (u, v) is: S={(1,1),(1,2),(1,4),(2,1),(2,2),(2,4),(4,1),(4,2),(4,4)} (b) The list of the outcomes in the sample space of sums, u + v: S={2,3,4,5,6,8}
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