An investment counselor calls with a hot stock tip. He believes that if the economy remains​ strong, the investment will result in a profit of ​$30,000. If the economy grows at a moderate​ pace, the investment will result in a profit of ​$20,000. ​However, if the economy goes into​ recession, the investment will result in a loss of ​$30,000. You contact an economist who believes there is a 30​% probability the economy will remain​ strong, a 60​% probability the economy will grow at a moderate​ pace, and a 10​% probability the economy will slip into recession. What is the expected profit from this​ investment?

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Author:Amos Gilat
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An investment counselor calls with a hot stock tip. He believes that if the economy remains​ strong, the investment will result in a profit of

​$30,000.

If the economy grows at a moderate​ pace, the investment will result in a profit of

​$20,000.

​However, if the economy goes into​ recession, the investment will result in a loss of

​$30,000.

You contact an economist who believes there is a

30​%

probability the economy will remain​ strong, a

60​%

probability the economy will grow at a moderate​ pace, and a

10​%

probability the economy will slip into recession. What is the expected profit from this​ investment?

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