The same monkey business as before: We have a sequence of i.i.d. random variables {X} with...
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The same monkey business as before: We have a sequence of i.i.d. random variables {X} with P[X₁ = 1] = 1/2, P[X₁ = 2] = 1/4, P[X₁ =3] =1/4 Vi e {1, 2, 3, ...} We are interested in the pattern "1232." We want to compute the expected time for the monkey to first type "1232." a) Draw a useful picture of a Markov chain. b) Write a set of linear equations that, when solved, give the expected time we are looking for. You do not need to solve the equations. *** Note: Solving on matlab gives (E[T₁], ..., E[T4]) = (128, 126, 120, 96) and so the expected time is exactly 128 steps.
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To compute the expected time for the monkey to first type the pattern 1232 we can set up a Markov chain to model this problem Let s break it down into View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
Posted Date:
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