The table shows claims and their probabilities for an insurance company. Amount of Claim Probability $0 0.60 $50,000 0.25 $100,000 0.09 $150,000 0.04 $200,000 0.01 $250,000 0.01 (a) Calculate the expected value. (b) How much should the company charge as an average premium so that it breaks even on its claim costs?   (c) How much should the company charge to make a profit of   per policy?     (a) $32,000 (b) $16,,000 (c) 32,080 (a) $32,000 (b) $16,000 (c) 16,080 (a) $16,000 (b) $32,000 (c) 32,080 (a) $32,000 (b) $32,000 (c) 32,080

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 55E
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The table shows claims and their probabilities for an insurance company.

Amount of Claim Probability
$0 0.60
$50,000 0.25
$100,000 0.09
$150,000 0.04
$200,000 0.01
$250,000 0.01


(a) Calculate the expected value.
(b) How much should the company charge as an average premium so that it breaks even on its claim costs?  
(c) How much should the company charge to make a profit of   per policy?
 
 
(a) $32,000 (b) $16,,000 (c) 32,080
(a) $32,000 (b) $16,000 (c) 16,080
(a) $16,000 (b) $32,000 (c) 32,080
(a) $32,000 (b) $32,000 (c) 32,080
 
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