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Suppose there are 10 bus stops in probabilityville. The first bus in each stop i arrives at 4 am +X i where X i (in

Suppose there are 10 bus stops in probabilityville. The first bus in each stop i arrives at 4 am +Xi where Xi (in minutes) follows Exponential (1) and Xi are all independent of each other. Let T be the smallest time when at least one bus has arrived at each stop. Find the distribution of T.

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