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​Use the Following Setup for Question

question 38

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​Use the following setup for question
Both Nadia and Samantha are applying to insure their car against theft.Nadia lives in a secure neighborhood,where the probability of theft is 10%.Samantha lives in a lesser secure neighborhood where the probability of theft is 25%.Both Nadia and Samantha own cars worth $10,000,and are willing to pay $100 over expected loss for insurance.
-​Suppose the insurance company cannot tell them apart but expects them to be different values and charges them an average premium of $1850.Who is more likely to buy this insurance?


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