As a healthcare insurance provider, you sell health insurance for a yearly premium. The probability that a randomly selected person who buys health insurance from you will get sick and charge \$6,000 per year is 40\%. If the yearly insurance premium is \$12,000 then who do you think wins, the insurance provider or

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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As a healthcare insurance provider, you sell health insurance for a yearly premium. The probability that a randomly selected person who buys health insurance from you will get sick and charge \$6,000 per year is 40\%. If the yearly insurance premium is \$12,000 then who do you think wins, the insurance provider or the insurance buyer, that is, find the expected return for the policy?

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Problem: Insurance is one of the fundamental driving forces of modern economy. Just to give you an idea, consider healthcare industry. It is the largest industry in the U.S. and currently
have yearly transactions of about $3 trillion; it is fundamentally driven by health insurance.
As a healthcare insurance provider, you sell health insurance for a yearly premium. The probability that a randomly selected person who buys health insurance from you will get sick and
charge $3, 000 per year is 60% . If the yearly insurance premium is $10, 000 then who do you think wins, the insurance provider or the insurance buyer, that is, find the expected return for
the policy?
Solution: Expected value is defined by
E(x) =
ExP(x)
Here there are two events; either an insured get sick and claims $3, 000 medical expenses or do not get sick and loses the premimum $10, 000
We define the event A as claiming $3, 000 and Ā as losing the $10, 000 . So the expected return is:
E(return) = 3, 000 × P(A) – 10, 000 × P(A)
= 3, 000 x 0.60 – 10,000 × 0.40 = 1,800 – 4, 000 = -2, 200
Lesson: In any insurance policy purchase, the expected return for the policy buyer is negative. This means that, on the average, the insurance buyer loses money, but the insurance
provider makes money.
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Transcribed Image Text:Safari Archivo Edición Visualización Historial Marcadores Ventana Ayuda Sáb nov. 20 11:33 p. m. math.suflek.com Suflek | Welcome! b My Questions | bartleby B Brainly.com - For students. By students. Sorry, your answer is wrong (but saved). Better luck next time! A Check Answer/Save O Step-By-Step Example C Live Help STEP-BY-STEP EXAMPLE Problem: Insurance is one of the fundamental driving forces of modern economy. Just to give you an idea, consider healthcare industry. It is the largest industry in the U.S. and currently have yearly transactions of about $3 trillion; it is fundamentally driven by health insurance. As a healthcare insurance provider, you sell health insurance for a yearly premium. The probability that a randomly selected person who buys health insurance from you will get sick and charge $3, 000 per year is 60% . If the yearly insurance premium is $10, 000 then who do you think wins, the insurance provider or the insurance buyer, that is, find the expected return for the policy? Solution: Expected value is defined by E(x) = ExP(x) Here there are two events; either an insured get sick and claims $3, 000 medical expenses or do not get sick and loses the premimum $10, 000 We define the event A as claiming $3, 000 and Ā as losing the $10, 000 . So the expected return is: E(return) = 3, 000 × P(A) – 10, 000 × P(A) = 3, 000 x 0.60 – 10,000 × 0.40 = 1,800 – 4, 000 = -2, 200 Lesson: In any insurance policy purchase, the expected return for the policy buyer is negative. This means that, on the average, the insurance buyer loses money, but the insurance provider makes money. O Previous Question Next Question O E Show All Only Marked X Only Wrong E Textbook a Graphing E Calculator Result: 24/119.00(20.17%) 13,860 NOV 2 étv ... 20
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