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What is the standard deviation of the returns on a stock given the following information? State of Economy Probability of State of Economy Rate of

What is the standard deviation of the returns on a stock given the following information?

State of Economy Probability of State of Economy Rate of Return if State Occurs
Boom 30% 15%
Normal 65 12
Recession 5 6
3.42 percent
2.89 percent
1.57 percent
2.03 percent
4.01 percent

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