In the Starobinsky inflationary model inflation is driven by quantum correc
tions to the vacuum Einstein equation. We reduce the Wheeler-DeWitt equatio
n corresponding to the Starobinsky model to a Schrodinger form containing t
ime. The Schrodinger equation is solved with a Gaussian ansatz. Using the p
rescription for the normalization constant of the wave function given in ou
r previous work, we show that the Gaussian ansatz demands Hawking type init
ial conditions for the wave function of the universe. The wormholes induce
randomness in initial states suggesting a basis for time-contained descript
ion of the Wheeler-DeWitt equation.