The taxi stand and the bus stop near Al's home are in the same location. Al goes there at a given time and if a taxi is waiting (this happens with probability 2/3) he boards it. Otherwise, he waits for a taxi or a bus to come, whichever comes first. The next taxi will arrive in a time that is uniformly distributed between 0 and 10 minutes, while the next bus will arrive in exactly 5 minutes. Find the CDF and the expected value of Al's waiting time.

Question

turingtest · Answer

I have the solution, but I don't understand it in full.

amistre64 · Answer

expected waiting time seems like a poisoned distribution

turingtest · Answer

lol you mean "poisson"?
we haven't studied that yet; this is in a chapter on pdf's

amistre64 · Answer

yeah :)

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