We consider a compound Poisson model with $E(N)=447$ and $S_i(227,30).$ The pure premium for the total population is $$111$ per unit of exposure. If the average pure premium for the last year was $$71,$ calculate the credibility premium of order $(0\mathrm{.}09,0\mathrm{.}92)$ for the following year.

$($A$)70\mathrm{.}97$

$($B$)70\mathrm{.}99$

$($C$)71\mathrm{.}00$

$($D$)70\mathrm{.}98$

$($E$)71\mathrm{.}01$