Distribution to model time between web page accesses

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oneamp
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I have a formula to get an average time that an average user spends reading a web page before going to the next one, that takes as input the number of words on the page. I want to use this in conjunction with a probability distribution to try to accurately model an 'average user' that is not exactly average; ie. a real user. Is a random exponential distribution appropriate to use in this context? If not, what are the alternatives and their benefits?

Thank you
 
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