Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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In Markov analysis, we are concerned with the probability that the
a. | state is part of a system. | b. | system is in a particular state at a given
time. | c. | time has reached a steady state. | d. | transition will
occur. |
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2.
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For a situation with weekly dining at either an Italian or Mexican
restaurant,
a. | the weekly visit is the trial and the restaurant is the state. | b. | the weekly visit is
the state and the restaurant is the trial. | c. | the weekly visit is the trend and the
restaurant is the transition. | d. | the weekly visit is the transition and the
restaurant is the trend. |
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3.
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A transition probability describes
a. | the probability of a success in repeated, independent trials. | b. | the probability a
system in a particular state now will be in a specific state next period. | c. | the probability of
reaching an absorbing state. | d. | None of the alternatives is
correct. |
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4.
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The probability of going from state 1 in period 2 to state 4 in period 3
is
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5.
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The probability that a system is in a particular state after a large number of
periods is
a. | independent of the beginning state of the system. | b. | dependent on the
beginning state of the system. | c. | equal to one half. | d. | the same for every
ending system. |
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6.
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At steady state
a. | p1(n+1) > p1(n) | b. | p1 =
p2 | c. | p1 +
p2 ³ 1 | d. | p1(n+1) = p1 |
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7.
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Analysis of a Markov process
a. | describes future behavior of the system. | b. | optimizes the
system. | c. | leads to higher order decision making. | d. | All of the alternatives are
true. |
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8.
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If the probability of making a transition from a state is 0, then that state is
called a(n)
a. | steady state. | b. | final state. | c. | origin
state. | d. | absorbing state. |
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9.
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Absorbing state probabilities are the same as
a. | steady state probabilities. | b. | transition probabilities. | c. | fundamental
probabilities. | d. | None of the alternatives is true. |
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10.
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The probability of reaching an absorbing state is given by the
a. | R matrix. | b. | NR matrix. | c. | Q
matrix. | d. | (I - Q)-1
matrix |
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