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A Firm Is Considering the Decision of Investing in New \quad

question 24

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A firm is considering the decision of investing in new plants.It can choose no new plants,one new plant,or two new plants.The following table gives the profits for each choice under three states of the economy.The manager assigns the following probabilities to each state of the economy: the economy expands,20%,the economy contracts,40%,or the economy is unchanged 40%. \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad  The economy \text { The economy }
 expands (0.20)  contracts (0.40)  unchanged (0.40)  no new plants $10 million $2 million $3 million 1 new plant $20 million $3 million $7 million 2 new plants $30 million $6 million $5 million \begin{array}{lccc} & \text { expands }(0.20) & \text { contracts }(0.40) & \text { unchanged }(0.40) \\ \text { no new plants } & \$ 10 \text { million } & -\$ 2 \text { million } & \$ 3 \text { million } \\1 \text { new plant } & \$ 20 \text { million } & -\$ 3 \text { million } & \$ 7 \text { million } \\2 \text { new plants } & \$ 30 \text { million } & -\$ 6 \text { million } & \$ 5 \text { million }\end{array}
Using the expected value rule which is correct? Building

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Definitions:

Statistics

The science of collecting, analyzing, interpreting, and presenting data to make informed decisions or predictions.

Mean

In statistics, the average value of a set of numbers, calculated by dividing the sum of all values by the count of values.

Median

is a statistical measure indicating the middle value in a set of data when arranged in numerical order, effectively dividing the dataset into two halves.

Rate

A measure or quantity across a specific time frame, commonly used to calculate speed, frequency, or incidence.

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