As a materials engineer working for Road Development Agency $($RDA$),$ what standard PG asphalt binder grade would you specify for each of the conditions shown in the table below $($show all calculations and fill in the table$)?$

$\backslash$table$[[$Case$,\backslash$table$[[$Seven$-$Day Maximum$],[$Pavement Temperature$]],\backslash$table$[[$Minimum Pavement$],[$Temperature$]],\backslash$table$[[$Recommended$],[$PG Grade$]]],[$Mean$,C,\backslash$table$[[$Standard$],[$Deviation$,C$