$6\mathrm{.}1$ A clean, $1$ m$2,15\%-$efficient module $($STC$),$ has its own $90\%-$efficient inverter. Its NOCT is $45$C and its rated power degrades by $0\mathrm{.}5\%/$C above the $25$C STC$.$ a$.$ What is the STC rated power of the module? b$.$ For a day with $6$ kWh$/$m$2$ of insolation, find the kWh that it would deliver if it operates at its NOCT temperature. Assume the only deratings are due to temperature and inverter efficiency.