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A coin is repeatedly flipped, where the probability of heads is p. On the nth flip, the quantity Dn+1 is calculated in the following manner:
A coin is repeatedly flipped, where the probability of heads is p. On the nth flip, the quantity Dn+1 is calculated in the following manner: Dn+1 is increased by one if a heads occurs, otherwise Dn+1 = max(Dn 1, 0). What conditions are required for the steady- state distribution to exist? Under these conditions, calculate the steady-state probability that Dn is less than or equal to two
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A First Course in Differential Equations with Modeling Applications
Authors: Dennis G. Zill
11th edition
1305965728, 978-1305965720
