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December 23rd, 2016, 07:57 AM   #1
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Waiting time for n bus (pdf)

In order to go from city A to city B you have to take n buses. For each of them you have to wait at the bus stop some time $\displaystyle $\tau_{i}$=1,2,...,n$. In each case, the probability that a bus arrives in a time interval [t, t + dt) is equal to rdt, independently for each interval of time. Let T be the total time you have to wait for buses. What is the probability density function (pdf) of T?
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