An insurance policy sells for $800.Based on past​ data, an average of 1 in 50 policyholders will file a ​$10,000 claim, an average of 1 in 250 policyholders will file a $50,000 claim, and an average of 1 in 400 policyholders will file a $60,000 claim. Find the expected value​ (to the​ company) per policy sold. If the company sells 20,000 policies, what is the expected profit or​ loss? The expected value is ? ​(Simplify your​ answer.) The expected profit loss is ? ​(Simplify your​ answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 35T
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An insurance policy sells for $800.Based on past​ data, an average of 1 in
50 policyholders will file a ​$10,000 claim, an average of 1 in 250 policyholders will file a $50,000 claim, and an average of 1 in 400 policyholders will file a $60,000 claim. Find the expected value​ (to the​ company) per policy sold. If the company sells 20,000 policies, what is the expected profit or​ loss?
 
The expected value is ?
​(Simplify your​ answer.)
 
The expected profit loss is ?
​(Simplify your​ answer.)
 
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