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The yearly transition probabilities of various condition states of deck component of bridges on urban Interstate highways in a U.S. state are given in Table 1. In 2018, there are 1771, 2751, 1771, and 578 bridges in the Excellent, Good, Fair, and Poor condition states, respectively. Find the number of bridges that are expected to be in the Excellent, Good, Fair, and Poor conditions in 2022. Assume that no major repairs were done during the period, so the original transition matrix stays unchanged

The yearly transition probabilities of various condition states of deck component of bridges on urban Interstate highways in a U.S. state are given in Table 1. In 2018, there are 1771, 2751, 1771, and 578 bridges in the Excellent, Good, Fair, and Poor condition states, respectively. Find the number of bridges that are expected to be in the Excellent, Good, Fair, and Poor conditions in 2022. Assume that no major repairs were done during the period, so the original transition matrix stays unchanged

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section18.3: Nonlinear Models
Problem 1BYG
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The yearly transition probabilities of various condition states of deck component of
bridges on urban Interstate highways in a U.S. state are given in Table 1. In 2018, there
are 1771, 2751, 1771, and 578 bridges in the Excellent, Good, Fair, and Poor condition
states, respectively. Find the number of bridges that are expected to be in the Excellent,
Good, Fair, and Poor conditions in 2022. Assume that no major repairs were done during
the period, so the original transition matrix stays unchanged 

TABLE 1: TRANSITION PROBABILITIES OF BRIDGE CODITION Excellent Good Fair Poor Very poor Excellent 0.6 0 0 0 0 Good 0.3 0.7 0 0 0 Fair 0.1 0.2 0.6 0 0 Poor 0 0.1 0.3 0.7 0 Very poor 0 0 0.1 0.3 1.0
Transcribed Image Text:TABLE 1: TRANSITION PROBABILITIES OF BRIDGE CODITION Excellent Good Fair Poor Very poor Excellent 0.6 0 0 0 0 Good 0.3 0.7 0 0 0 Fair 0.1 0.2 0.6 0 0 Poor 0 0.1 0.3 0.7 0 Very poor 0 0 0.1 0.3 1.0
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