Find the expected value​ (to the​ company) per policy sold. If the company sells 30,000 ​policies, what is the expected profit or​ loss?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 68E
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An insurance policy sells for ​$1000. Based on past​ data, an average of 1 in 100 policyholders will file a ​$15,000 ​claim, an average of 1 in 200 policyholders will file a ​$40,000 ​claim, and an average of 1 in 250 policyholders will file an ​$80,000 claim. Find the expected value​ (to the​ company) per policy sold. If the company sells 30,000 ​policies, what is the expected profit or​ loss?
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