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Are we there yet? (Posted on 2017-08-30) Difficulty: 3 of 5
Consider a 10 mile length of road with mile markers exactly every mile including 0 and 10. Starting at the 0 marker, you drive towards 10 and randomly stop at some point with a position "p" defined as (0 marker)<= p <=(10 marker).

Part 1 (teaser): - What is the expected value of the distance from "p" to the nearest mile marker?

Part 2 (more difficult): - Three mile markers, randomly selected, have been removed by vandals, but 0 and 10 remain. Same question as part 1.

Part 3: - Consider part 2, but markers 0 and 10 are also potentially part of the vandalism.
Does the answer change from part 2, and if so what is it?
(You have no problem knowing where to start your trip, even if marker 0 happens to be missing)

No Solution Yet Submitted by Kenny M    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Part 3Charlie2017-08-31 15:40:15
SolutionPart 3Larry2017-08-31 15:19:25
Some Thoughtsparts 1 & 2 only; outline of 3Charlie2017-08-30 12:28:14
Part 2Steve Herman2017-08-30 11:10:27
Part 1chun2017-08-30 09:54:36
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