See for example this paper.

[Covering by random intervals and one-dimensional continuum percolation][1]

C. Domb, J. Stat. Phys. Vol. 55(1-2), 1989

and also

[Exact solution of a one-dimensional continuum percolation model][2]

A. Drory, Phys. Rev. E Vol. 55(4), 1997

among other works, including many by the second author above.


  [1]: https://link.springer.com/article/10.1007/BF01042611
  [2]: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.55.3878