Applied Statistics and Probability for Engineers, 6th Edition
Authors: Douglas C. Montgomery, George C. Runger
ISBN-13: 978-1118539712
See our solution for Question 1E from Chapter 2 from Applied Statistics and Probability for Engineers by Montgomery.
Problem 1E
Chapter:
Problem:
Step-by-Step Solution
Given Information
It is given that each of the three machine parts can be either above or below the target specification for the part.
Let, A means part is above and B denote that the part is below.
Step-1: The sample space
There can following combinations for three machine parts
\[\begin{array}{l}AAA\\AAB\\ABA\\BAB\\ABB\\BAB\\BBA\\BBB\end{array}\]Therefore, the sample space is \[\boxed{S = \left\{ {AAA,AAB,ABA,BAB,ABB,BAB,BBA,BBB} \right\}}\]
It is given that each of the three machine parts can be either above or below the target specification for the part.
Let, A means part is above and B denote that the part is below.
Step-1: The sample space
There can following combinations for three machine parts
\[\begin{array}{l}AAA\\AAB\\ABA\\BAB\\ABB\\BAB\\BBA\\BBB\end{array}\]Therefore, the sample space is \[\boxed{S = \left\{ {AAA,AAB,ABA,BAB,ABB,BAB,BBA,BBB} \right\}}\]