Suppose that a healthy person has 10% chance of getting sick that would require $40,000 of medical expenses. Suppose that unhealthy person has a 60% chance of getting sick that would require $100,000 in medical expenses. A) What would be an actuarially fair premium for a healthy person? B) What would be an actuarially fair premium for unhealthy person? C) If everyone has to buy health insurance and 20% of the population are unhealthy and 80% of the population are health, what would be an actuarially fair premium for any person?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose that a healthy person has 10% chance of getting sick that would require $40,000 of medical expenses. Suppose that unhealthy person has a 60% chance of getting sick that would require $100,000 in medical expenses.

A) What would be an actuarially fair premium for a healthy person?

B) What would be an actuarially fair premium for unhealthy person?

C) If everyone has to buy health insurance and 20% of the population are unhealthy and 80% of the population are health, what would be an actuarially fair premium for any person?

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