*27. Suppose that “the process going out of control" corresponds to a shift of the mean from μ to μ + σ vith probability.25 , μ+ 2σ with probability .25, μ- σ with probability .25, and µ – 20 with probability .25. What modifications in the model are required? In particular, if we write the shift in the form µ ± 8o, show how to compute B1 and B2 that would correspond to values of ô = 1 and ô = 2, respec- tively. If the out-of-control costs were now represented by az when ô = 1 and a4 when ô = 2, determine an expression for the average annual operating costs. (As- sume all other costs and system parameters remain the same.)
*27. Suppose that “the process going out of control" corresponds to a shift of the mean from μ to μ + σ vith probability.25 , μ+ 2σ with probability .25, μ- σ with probability .25, and µ – 20 with probability .25. What modifications in the model are required? In particular, if we write the shift in the form µ ± 8o, show how to compute B1 and B2 that would correspond to values of ô = 1 and ô = 2, respec- tively. If the out-of-control costs were now represented by az when ô = 1 and a4 when ô = 2, determine an expression for the average annual operating costs. (As- sume all other costs and system parameters remain the same.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:*27. Suppose that “the process going out of control" corresponds to a shift of the mean
from μ to μ + σ vith probability.25 , μ+ 2σ with probability .25, μ- σ with
probability .25, and µ – 20 with probability .25. What modifications in the model
are required? In particular, if we write the shift in the form µ ± 8o, show how to
compute B1 and B2 that would correspond to values of ô = 1 and ô = 2, respec-
tively. If the out-of-control costs were now represented by az when ô = 1 and a4
when ô = 2, determine an expression for the average annual operating costs. (As-
sume all other costs and system parameters remain the same.)
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