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: 2

Answer

$$A = \{113,122,131,212,221,311\} $$

Work Step by Step

1. Write the sample space: $$S =\{111,112,113,114,115,116,...,665, 666\}$$ The most important thing here is to notice that each sample has 3 numbers between 1 and 6. 2. Identify the ones where the sum of the three numbers is equal to 5: $A = \{113,122,131,212,221,311\} $
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