rec17 - 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 17 November 4, 2010 1. Iwana Passe is taking a multiple-choice exam. You may assume that the number of questions is infinite. Simultaneously, but independently, her conscious and subconscious faculties are gen- erating answers for her, each in a Poisson manner. (Her conscious and subconscious are always working on different questions.) Conscious responses are generated at the rate c responses per minute. Subconscious responses are generated at the rate s responses per minute. Assume c negationslash = s . Each conscious response is an independent Bernoulli trial with probability p c of being correct. Similarly, each subconscious response is an independent Bernoulli trial with probability p s of being correct. Iwana responds only once to each question, and you can assume that her time for recording these conscious and subconscious responses is negligible.time for recording these conscious and subconscious responses is negligible....
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