O a)42.7 millionb)0. millionc)105 milliond)23.3 million A biologist doing an experiment has a bacteria populationcultured in a petri dish. After measuring, she finds that thereare81.1 million bacteria infected with the zeta-virus and 47millioninfection-free bacteria. Her theory predicts that 80% ofinfected bacteria will remain infected over the next hour,while theremaining of the infected manage to fight off the virus inthat hour.Similarly, she predicts that 10% of the healthy bacteria willremain healthy over the hour while the remaining of thehealthy willsuccumb to the affliction. Modeling this as a Markov chain,use her theory to predict the population of non-infectedbacteria after a week (i.e. steady state).0.8 0.9[Hint: The transition matrix, P=0.2 0.1has eigenvalue/eigenvector pairs:0.9{2=-0.1, v=} and (2=1, v=0.2[Answers are rounded to 3 significant figures.]

Name: O a)42.7 millionb)0. millionc)105 milliond)23.3 million A biologist d
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Description: O a)42.7 millionb)0. millionc)105 milliond)23.3 million A biologist doing an experiment has a bacteria populationcultured in a petri dish. After measuring, she finds that thereare81.1 million bacteria infected with the zeta-virus and 47millioninfect

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A biologist doing an experiment has a bacteria population cultured in a petri dish. After measuring, she finds that there are 81.1 million bacteria infected with the zeta-virus and 47 million infection-free bacteria. Her theory predicts that 80% of infected bacteria will remain infected over the next hour, while the

A biologist doing an experiment has a bacteria population cultured in a petri dish. After measuring, she finds that there are 81.1 million bacteria infected with the zeta-virus and 47 million infection-free bacteria. Her theory predicts that 80% of infected bacteria will remain infected over the next hour, while the

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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