Figure 1 gives the layout of a house with four rooms connected by doors. Room I contains
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Figure 1
(a) Set up the 4 Ã 4 absorbing stochastic matrix that describes this situation.
(b) If a mouse begins in room IV, what is the probability that it will find the cheese after 2 minutes?
(c) If a mouse begins in room IV, what is the probability that it will find the cheese in the long run?
(d) For a mouse beginning in room III, determine the expected number of minutes that will elapse before the mouse either finds the cheese or is trapped.
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Related Book For
Finite Mathematics and Its Applications
ISBN: 978-0134768632
12th edition
Authors: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair
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