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 Parking Cars (Posted on 2004-07-01)
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)?
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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: ( Back to comment list | You must be logged in to post comments.)
 re(2): Different? | Comment 11 of 14 |
(In reply to re: Different? by Charlie)

2.10  1.19
2.90  1.95

I meant to say hard to park 2 cars for 2.1, and hard to park less than 2 cars for 2.9; Look at the difference between 1.19 and 1.95.

 Posted by Gamer on 2004-07-02 22:40:21

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