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?

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 Wha class=

Respuesta :

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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