Identify Discrete Probability Distributions
-An Apple Pie Company Knows That $50 \%$

Identify Discrete Probability Distributions
-An Apple Pie Company knows that the number of pies sold each day varies from day to day. The owner believes that on $50 \%$ of the days she sells 100 pies. On another $25 \%$ of the days she sells 150 pies, and she sells 200 pies on the remaining $25 \%$ of the days. To make sure she has enough product, the owner bakes 200 pies each day at a cost of $\$ 1.50$ each. Assume any pies that go unsold are thrown out at the end of the day. If she sells the pies for $\$ 4$ each, find the probability distribution for her daily profit.

A)
$\begin{array}{l|l}\text { Profit } & \mathrm{P} \text { (profit) } \\\hline \$ 100 & 0.5 \\\$ 300 & 0.25 \\\$ 500 & 0.25\end{array}$

B)
$\begin{array}{l|l}\text { Profit } & \text { P(profit) } \\\hline \$ 400 & 0.5 \\\$ 600 & 0.25 \\\$ 800 & 0.25\end{array}$

C)
$\begin{array}{l|l}\text { Profit } & \text { P(profit) } \\\hline \$ 200 & 0.5 \\\$ 400 & 0.25 \\\$ 600 & 0.25\end{array}$

D)
$\begin{array}{l|l}\text { Profit } & \text { P(profit) } \\\hline \$ 250 & 0.5 \\\$ 375 & 0.25 \\\$ 500 & 0.25\end{array}$