Calculate the premium that the insurance company should charge for a policy to break even.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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A customer for a home insurance policy owns a $200,000 home. The probability is 0.1% that the home will
be totally destroved by fire, and the probability is 0.5% that the home will suffer a 50% loss due to fire.
Ignoring all other partial losses, the insurance company is interested in determining what premium it should
charge for a policy just to break even?
Let X = the amount of compensation paid to the customer.
Calculate the premium that the insurance company should charge for a policy to break even.
Hint: use the probability distribution table you made to find the sample space of the rv, X
Transcribed Image Text:A customer for a home insurance policy owns a $200,000 home. The probability is 0.1% that the home will be totally destroved by fire, and the probability is 0.5% that the home will suffer a 50% loss due to fire. Ignoring all other partial losses, the insurance company is interested in determining what premium it should charge for a policy just to break even? Let X = the amount of compensation paid to the customer. Calculate the premium that the insurance company should charge for a policy to break even. Hint: use the probability distribution table you made to find the sample space of the rv, X
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