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}

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

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

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

Compute Probabilities of a Poisson Random Variable

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