  Exclusive and inclusive $(\nu_\mu, \mu^-), (\nu_e, e^-)$ cross-sections and
$\mu^-$-capture rates are calculated for ^{12}C and ^{16}O using the consistent
random phase approximation (RPA) and pairing model. After a pairing correction
is introduced to the RPA results the flux-averaged theoretical $(\nu_\mu,
\mu^-), (\nu_e, e^-)$ cross-sections and $\mu^-$-capture rates in $^{12}$C are
in good agreement with experiment. In particular when one takes into account
the experimental error bars, the recently measured range of values for the
$(\nu_\mu, \mu^-)$ cross-section is in agreement with the present theoretical
results. Predictions of $(\nu_\mu, \mu^-)$ and $(\nu_e, e^-)$ cross-sections in
^{16}O are also presented.
