Question $2($a$)$ The mean wind speed at the site of a wind turbine is $5\mathrm{.}8$ m$/$s$.$ The turbine produces XXXX of electricity annually and has a capacity factor of $38\%.$ If the rated wind speed of the turbine is $9$ m$/$s calculate the proportion of the turbine$$s electrical output that is produced during times when the wind speed at the site is between $10$ and $11$ m$/$s$.[6$ marks$]$