Please use the following information to answer question $(6)$ and $(7)$:

The Alex Convention Centre has a seating capacity of $500$ people and will be

used to host the $2017$ Annual Golden Key Conference and Gala Dinner. The

event will be free for all its members. Generally, $90\%$ of members that attend

the Conference also attend the Gala Dinner that follows in the evening.

Based on past conferences, attendance of members has been uncertain but

from experience, attendance is expected to be as follows:

If the expected attendance for the conference is $345\mathrm{.}5,$ calculate the variance

of conference attendance?

Select one:

a$.40\mathrm{.}80$

b$.1644\mathrm{.}35$

c$.45\mathrm{.}33$

d$.2054\mathrm{.}75$