  We consider a large number of randomly dispersed spherical, identical,
perfectly conducting inclusions (of infinite conductivity) in a bounded domain.
The host medium's conductivity is finite and can be inhomogeneous. In the
dilute limit, with some boundedness assumption on a large number (proportional
to the global volume fraction raised to the power of -1/2) of marginal
probability densities, we prove convergence in H^1 norm of the expectation of
the solution of the steady state heat equation, to the solution of an effective
medium problem, where the conductivity is given by the Clausius-Mossotti
formula. Error estimates are provided as well.
