(b)
Statement (b) is not correct regarding the $S_{N}1$ reaction for alkyl halide because in $S_{N}1\$reaction no inversion takes place. The removal of X and the attachment of $OH^{-}$ will take place from the same side.
$R - X\overset{Slow\ \ \ }{\rightarrow}R^{+} + X^{-}$
$R^{+} + OH^{-}\overset{Fast\ \ }{\rightarrow}ROH$