rec19 - Massachusetts Institute of Technology Department of...

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Unformatted text preview: Massachusetts Institute of Technology Department of Electrical Engineering & Computer Science 6.041/6.431: Probabilistic Systems Analysis (Fall 2010) Recitation 19: November 16, 2010 1. Josephina is currently a 6-1 student. On each day that she is a 6-1 student, she has a probability of 1/2 of being a course 6-1 student the next day. Otherwise, she has an equally likely chance of becoming a 6-2 student, a 6-3 student, a course 9 student or a course 15 student the next day. On any day she is a 6-3 student, she has a probability of 1/4 of switching to course 9, a probability of 3/8 of switching to 6-1 and a probability of 3/8 of switching to 6-2 the next day. On any day she is a 6-2 student, she has a probability of 1/2 of switching to course 15, a probability of 3/8 of switching to 6-1 and a probability of 1/8 of switching to 6-3 the next day. In answering the questions below, assume Josephina will be a student forever. Also assume, for parts (a)-(f) that if Josephina switches to course 9 or course 15, she will stay there and will not...
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This note was uploaded on 12/02/2011 for the course ENGINEERIN EE302 taught by Professor Proasin during the Spring '11 term at South Carolina.

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