4. On an insurance coverage, loss size has the following distribution: (2000) F(x) = 1- x ≥ 2000. The number of claims has a negative binomial distribution with mean 0.3, variance 0.6. Claim counts and loss sizes are independent. A deductible of 2000 is applied to each claim. Calculate the variance of aggregate payments.
4. On an insurance coverage, loss size has the following distribution: (2000) F(x) = 1- x ≥ 2000. The number of claims has a negative binomial distribution with mean 0.3, variance 0.6. Claim counts and loss sizes are independent. A deductible of 2000 is applied to each claim. Calculate the variance of aggregate payments.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 31PPS
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Question
![4. On an insurance coverage, loss size has the following distribution:
(2000) ³
F(x) = 1-
* 2 2000.
The number of claims has a negative binomial distribution with mean 0.3, variance
0.6. Claim counts and loss sizes are independent.
A deductible of 2000 is applied to
each claim.
Calculate the variance of aggregate payments.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7e316ef9-c98a-416b-9034-e4fcdb2585ee%2F64bc0e75-9f8b-408a-b706-28b12027836a%2Flelvlmf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. On an insurance coverage, loss size has the following distribution:
(2000) ³
F(x) = 1-
* 2 2000.
The number of claims has a negative binomial distribution with mean 0.3, variance
0.6. Claim counts and loss sizes are independent.
A deductible of 2000 is applied to
each claim.
Calculate the variance of aggregate payments.
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