1
$\begingroup$

I have a problem similar to the one already described and solved here Mean minimum distance for N random points on a one-dimensional line:

In my case I have N random points on a line of length L populated with integers. I now select ONE random point of the N points. What is the expected distance to the nearest other point?

Cheers,

Peter

Improve this question
$\endgroup$

1 Answer 1

Reset to default
1
$\begingroup$

I assume that your points are independent uniformly distributed. Then the probability that an interval of length $l$ around your point contains no other point is $(1-l/L)^{N-1}.$ I leave the rest as an exercise.

Improve this answer
$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .