not sure if this problem is as easy as it looks

mardi 11 novembre 2014

T1 is exponential with mean 1, T2 is exponential with mean 2, T3 is exponential with mean 3.



First of all, I set up the pdf's and determined that T3 is the minimum and T1 is the maximum (at least I think so)



The actual questions are:



What is the expected value of the minimum? And what is the expected value of the maximum?



So would the first answer be 3 and the second answer be 1? I'm a little bothered that the mean of the minimum value is higher. Do I have this backwards?





not sure if this problem is as easy as it looks

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