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nguyendavis17
30.06.2021 •
Mathematics
In a product liability case, a company can settle out of court for a loss of $350,000, or go to trial, losing $400,000 if found guilty and nothing if found not guilty. Lawyers for the company estimate the probability of a not-guilty verdict to be 0.8. Complete parts (a) through (b) below. What is the expected value of the amount the company can lose by taking the case to court?
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Ответ:
Option (3)
Step-by-step explanation:
Let the unknown angle of the triangle measure x°.
By applying cosine rule in the right triangle,
cos(x) =![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](/tpl/images/1060/0883/28977.png)
cos(x) =![\frac{33}{65}](/tpl/images/1060/0883/36d3d.png)
x =![\text{cos}^{-1}(\frac{33}{65})](/tpl/images/1060/0883/3db40.png)
x = 59.49°
≈ 60°
Therefore, option (3) will be the correct option.