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Scenario: Diversification
Morris is considering investing $10,000 in a sunglass company or a rain poncho company. If it is a rainy year and he invests only in the sunglass company, he will lose $5,000. However, if it is a rainy year and he invests only in the rain poncho company, he will earn $10,000. If it is a sunny year and he invests only in the sunglass company, he will earn $10,000; if he invests only in the rain poncho company, he will lose $5,000 in a sunny year. There is a 50% chance of a sunny year and a 50% chance of a rainy year.
-(Scenario: Diversification) Look at the scenario Diversification. If Morris invests half of his money in the sunglass company and half in the rain poncho company, what is his expected gain or loss?


Definitions:

Population Variance

A statistical measure of the distribution of values in a population, indicating how much individuals within the population differ from the population mean.

Upper Limit

The maximum value in a set or the highest value that a variable can take.

Significance Level

A threshold chosen by a researcher or statistician below which a p-value indicates a statistically significant result, rejecting the null hypothesis.

Mean Age

The average age of all individuals in a particular group or set, calculated by summing their ages and dividing by the number of individuals.

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