  Following Freivogel {\it et al} we consider inflation in a predictive (or
`friendly') region of the landscape of string vacua, as modeled by
Arkani-Hamed, Dimopoulos and Kachru. In such a region the dimensionful
coefficients of super-renormalizable operators unprotected by symmetries, such
as the vacuum energy and scalar mass-squareds are freely scanned over, and the
objects of study are anthropically or `environmentally' conditioned probability
distributions for observables. In this context we study the statistical
predictions of (inverted) hybrid inflation models, where the properties of the
inflaton are probabilistically distributed. We derive the resulting
distributions of observables, including the deviation from flatness
$|1-\Omega|$, the spectral index of scalar cosmological perturbations $n_s$
(and its scale dependence $dn_s/d\log k$), and the ratio of tensor to scalar
perturbations $r$. The environmental bound on the curvature implies a solution
to the $\eta$-problem of inflation with the predicted distribution of $(1-n_s)$
indicating values close to current observations. We find a relatively low
probability ($<3%$) of `just-so' inflation with measurable deviations from
flatness. Intermediate scales of inflation are preferred in these models.
