In a product liability​ case, a company can settle out of court for a loss of​ $350,000, or go to​ trial, losing ​$1,100,000 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.   a. What is the expected value of the amount the company can lose by taking the case to​ court?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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In a product liability​ case, a company can settle out of court for a loss of​ $350,000, or go to​ trial, losing ​$1,100,000 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.
 
a. What is the expected value of the amount the company can lose by taking the case to​ court?
$_______
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