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Parking Cars (Posted on 2004-07-01) Difficulty: 5 of 5
There is an east-west street of length L units. And we park cars of unit length along the north side until we can't place any more cars. Each car is placed randomly (uniformly).

What is the expected number of cars that can be parked (as a function of L)?

I'll start you off...

For 0 <= L < 1, F(L) = 0
For 1 <= L < 2, F(L) = 1

Okay... now the easy ones are out of the way, can you describe the function for L>=2?

No Solution Yet Submitted by SilverKnight    
Rating: 4.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No SubjectAhamed2004-07-09 01:52:40
re: simulationRichard2004-07-05 19:49:36
Google-able (spoiler)Richard2004-07-05 16:59:07
re(2): Different?Gamer2004-07-02 22:40:21
fixed 2Jer2004-07-02 15:15:23
re: simulation--bug fix, but doesn't change answersCharlie2004-07-02 08:16:52
re: Different?Charlie2004-07-02 00:34:05
Some ThoughtssimulationCharlie2004-07-02 00:16:28
Different?Gamer2004-07-01 22:59:44
re: QuestionCharlie2004-07-01 22:46:00
QuestionChaz2004-07-01 21:12:00
Next stepJer2004-07-01 14:50:39
More observationsEric2004-07-01 14:45:04
Some observationsEric2004-07-01 14:33:15
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