i) Losses for each employee of a given policyholder are independent and have a common mean and variance. ii) The overall average loss per employee for all policyholders is 20. iii) The variance of the hypothetical means is 40. iv) The expected value of the process variance is 8000. v) The following experience is observed for a randomly selected policyholder: Average Loss per Employee 15 Number of Year Employees 1 800 10 600 3 400 Determine the Bühlmann-Straub credibility premium per employee for this policyholder. CA) Less than 10.5 B) At least 10.5, but less than 11.5 C) At least 11.5, but less than 12.5 D) At least 12.5, but less than 13.5 E) At least 13.5

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(1)
Losses for each employee of a given policyholder are independent and have a common
mean and variance.
(ii)
The overall average loss per employee for all policyholders is 20.
(iii)
The variance of the hypothetical means is 40.
(iv)
The expected value of the process variance is 8000.
(v)
The following experience is observed for a randomly selected policyholder:
Average Loss per
Employee
15
Number of
Year
Employees
800
1
2
10
600
400
Determine the Bühlmann-Straub credibility premium per employee for this policyholder.
(A)
Less than 10.5
(В)
At least 10.5, but less than 11.5
(C)
At least 11.5, but less than 12.5
(D)
At least 12.5, but less than 13.5
(E)
At least 13.5
Transcribed Image Text:(1) Losses for each employee of a given policyholder are independent and have a common mean and variance. (ii) The overall average loss per employee for all policyholders is 20. (iii) The variance of the hypothetical means is 40. (iv) The expected value of the process variance is 8000. (v) The following experience is observed for a randomly selected policyholder: Average Loss per Employee 15 Number of Year Employees 800 1 2 10 600 400 Determine the Bühlmann-Straub credibility premium per employee for this policyholder. (A) Less than 10.5 (В) At least 10.5, but less than 11.5 (C) At least 11.5, but less than 12.5 (D) At least 12.5, but less than 13.5 (E) At least 13.5
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