Interpret the Mean of a Discrete Random Variable as an Expected

Multiple Choice

Interpret the Mean of a Discrete Random Variable as an Expected Value
-Mamma Temte bakes six pies a day that cost $\$ 2$ each to produce. On $31 \%$ of the days she sells only two pies. On $39 \%$ of the days, she sells 4 pies, and on the remaining $30 \%$ of the days, she sells all six pies. If Mama Temte sells her pies for $\$ 5$ each, what is her expected profit for a day's worth of pies? [Assume that any leftover pies are given away.]

A) $\$ 7.90$
B) $\$ 19.90$
C) $- \$ 7.00$
D) $- \$ 8.02$