Consider two independent Bernoulli processes X₁ [n] and X₂ [n] both have success probability 0.50. They are mergedinto one Bernoulli process and then later split into Y₁ [n] and Y₂[n] with equal success probabilities. What is theprobability that Y₁ [n] = 0 given that Y₂ [n] = 0? Specify your answer correct up to four decimal places.

Given: The two independent Bernoulli processes X1n and X2n both have success probability 0.50. They…

Answered: Consider two independent Bernoulli…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 25EQ

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Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
Consider two independent Bernoulli processes X1 n] and X2[n] both have success probability 0.50. They are merged into one Bernoulli process and then later split into Y1[n] and Y2[] with equal success probabilities. What is the probability that Y1[n] = 0 given that Y2[n] = 0? Specify your answer correct up to four decimal places. Answer:
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The potholes in a long road occur as a Poisson process of rate 4 per mile. In other words, if we let R(t) = the number of potholes in the first t miles of the road then the random variables (R(t): t > 0) form a Poisson process of rate 4.

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