Starobinsky described an inflationary scenario in which quantum corrections
to vacuum Einstein equations drive the inflation. The quantum cosmology of
the model is studied by solving the Wheeler-DeWitt equation. A connection
between uncertainty requirement, randomness in initial states and curvature
fluctuation is studied with a Schrodinger-type equation through a time par
ameter prescription. The result obtained is applied to understand the decoh
erence mechanism in quantum gravity in the Starobinsky description.