A company has sold an insurance policy. A loss event occurs with a probability of 0.2. If the loss event has occurred, then the amount of damage is a r.v. § uniform on [0, 10]. Suppose that the policy provides the complete coverage of the loss (so, now there is no restriction on maximal payment). Consider a portfolio of 10,000 independent policies of the type above. Suppose the company proceeds from a security level of ß = 0.9. Select from below the number closest to the minimal premium acceptable for the company (The quantile goa 1282)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
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A company has sold an insurance policy. A loss event occurs with a
probability of 0.2 . If the loss event has occurred, then the amount of
damage is a r.v. & uniform on [0, 10].
Suppose that the policy provides the complete coverage of the loss (so,
now there is no restriction on maximal payment).
Consider a portfolio of 10,000 independent policies of the type above.
Suppose the company proceeds from a security level of 3 = 0.9.
Select from below the number closest to the minimal premium
acceptable for the company. (The quantile q0.9,s≈ 1.282 ).
A.approximately 2.077
B.approximately 1.361
C.approximately 0.038
D.approximately 2.026
E.approximately 1.031
Transcribed Image Text:A company has sold an insurance policy. A loss event occurs with a probability of 0.2 . If the loss event has occurred, then the amount of damage is a r.v. & uniform on [0, 10]. Suppose that the policy provides the complete coverage of the loss (so, now there is no restriction on maximal payment). Consider a portfolio of 10,000 independent policies of the type above. Suppose the company proceeds from a security level of 3 = 0.9. Select from below the number closest to the minimal premium acceptable for the company. (The quantile q0.9,s≈ 1.282 ). A.approximately 2.077 B.approximately 1.361 C.approximately 0.038 D.approximately 2.026 E.approximately 1.031
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