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Unformatted text preview: (this last part is optional with potential extra credit for VERY good answers) 36 Cary wanders across Duke's campus, giving $1 to strangers (all students). Assuming the students are, independently, equally likely to be freshmen, sophomores, juniors, or seniors, how much money should Cary expect to pay to give a dollar to someone from each class? (HINT: Let X 1 be the number of dollars given until students from at least 1 class have a dollar; X 2 the number of additional dollars given until students from at least 2 classes have dollars; X 3 the number of additional dollars given until students from at least 3 classes have dollars; etc. Obviously E[X 1 ]=1; what about X 2 , X 3 , X 4 ?) What's the probability Cary spends no more than $5? 37...
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 Winter '08
 Buckingham
 Probability

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