4I/4H Transition matrices

Kerry sat for a multiple-choice test consisting of six questions with possible answers, A, B, C, or D. He selected D for his answer to the first question. He then determined the answers to the remaining questions using the transition matrix opposite. The answers that he gave to the six test questions, starting with D were:

• DBCADB

• DBCAAA

• DBCACA

• DACBDD

• DCBABC

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• 
• 
• 
• 

• 
• 
• 
• 
• 

The steady-state matrix is closest to:

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• 
• 
• 
• 

The transition diagram is not complete. What is the value of x?

• 0.2

• 0.5

• 0.6

• 0.8

What percentage of road that needs no maintenance will again need no maintenance the following year?

• 50%

• 5%

• 10%

• 20%

How many kilometres of highway need to be graded (G) in 2018?

• 700

• 400

• 200

• 1400

How many kilometres of highway will need to be resurfaced in 2019?

• 460

• 390

• 360

• 1490