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A fund manager is considering investing in stock of a health provider

Statistics Jan 02, 2021

A fund manager is considering investing in stock of a health provider. The manager's assessment of probabilities for rates of return of this stock over the next year is summarized in the accompanying table. Let A be the event "Rate of return will be more than 10%" and B the event "Rate of return will be negative".

Rate of Return Probability
-10% or less 0.04
More than -10% to 0.0% 0.28
More than 0% to 10% 0.33
More than 10% to 20% 0.14
More than 20% 0.21

Are A and B mutually exclusive? Why?

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