A construction company has been hired to build a custom home. The builder estimates the probabilities of potential profit (or loss) as shown in the table below. What is the profit expectation for the company?

Based on the profit estimates and their probabilities, the profit expectation for this company is $34,600.
The profit expectation is a weighted average of the profits and their probabilities.
The profit expectation is therefore:
= (100,000 x 0.10) + (60,000 x 0.30) + (30,000 x 0.30) + (0 x 0.20) + (-20,000 x 0.08) + (-40,000 x 0.02)
= 10,000 + 18,000 + 9,000 + 0 - 1,600 - 800
= $34,600
In conclusion, the profit expectation is $34,600.
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