Lana arrives at a bus stop at a uniformly random time. When Lana arrives at the bus stop, either of two independent bus lines (both of which can take her school) may come by. Company A’s bus arrival times are exactly 10 minutes apart, whereas the time from one Company B bus to the next is distributed as Expo (1/10​) . What is the probability that Company B’s bus arrives first solve by double integration.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Lana arrives at a bus stop at a uniformly random time. When Lana arrives at the bus stop, either of two independent bus lines (both of which can take her school) may come by. Company A’s bus arrival times are exactly 10 minutes apart, whereas the time from one Company B bus to the next is distributed as Expo (1/10​) .

  1. What is the probability that Company B’s bus arrives first solve by double integration
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