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Actuary版 - 菜鸟问习题一道
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1 (共1页)
m****n
发帖数: 75
1
An auto insurance company insures an automobile worth 15,000 for one year
under a policy with a 1,000 deductible. During the policy year there is a 0.
04 chance of partial damage to the car and a 0.02 chance of a total loss of
the car. If there is partial damage to the car, the amount X of damage (in
thousands) follows a distribution with density
function
f(y)=0.5003 exp (-x/2) 0 What is the expected claim payment?
(A) 320
(B) 328
(C) 352
(D) 380
(E) 540
我的问题是:
deductible
I**R
发帖数: 1309
2
let C stands for claim payment
C=0 if X<=1000
C=X-1000 otherwise
here, C obviously is a random varaible. hope this helps.

0.
of

【在 m****n 的大作中提到】
: An auto insurance company insures an automobile worth 15,000 for one year
: under a policy with a 1,000 deductible. During the policy year there is a 0.
: 04 chance of partial damage to the car and a 0.02 chance of a total loss of
: the car. If there is partial damage to the car, the amount X of damage (in
: thousands) follows a distribution with density
: function
: f(y)=0.5003 exp (-x/2) 0: What is the expected claim payment?
: (A) 320
: (B) 328

1 (共1页)
进入Actuary版参与讨论
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