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Unformatted text preview: one, for simplicity), and the infection times of different pairs of individuals are independent of each other. Let the duration of the epidemic be denoted by 1 2 1+ + + = N U U U T where U i is the amount of time spent with exactly i individuals infected. 1. (3 points) What is the distribution of U i for each possible value of i ? Justify your answer. 2. (2 points) Calculate E[T]. 3. (3 points) Does the expected duration of the epidemic increase or decrease as a function of N? Hint: Find an asymptotic expression for the expected duration, after using the identity . 1 1 1 ) ( 1 + =K N K N K N K...
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This note was uploaded on 02/26/2012 for the course STATISTICS 420 taught by Professor Wierman during the Fall '11 term at Johns Hopkins.
 Fall '11
 Wierman
 Probability

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