exercise:0928f65fb8: Difference between revisions
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Assume a uniform distribution of claim sizes within each interval. | Assume a uniform distribution of claim sizes within each interval. | ||
Calculate <math>E(X^2) - E( (X \wedge 150)^2 ]</math> | Calculate <math>\operatorname{E}(X^2) - \operatorname{E}( (X \wedge 150)^2 ]</math> | ||
<ul class="mw-excansopts"> | <ul class="mw-excansopts"> | ||
Latest revision as of 17:54, 13 May 2023
You are given:
| Claim Size (X) | Number of Claims |
|---|---|
| (0,25] | 25 |
| (25,50] | 28 |
| (50,100] | 15 |
| (100,200] | 6 |
Assume a uniform distribution of claim sizes within each interval.
Calculate [math]\operatorname{E}(X^2) - \operatorname{E}( (X \wedge 150)^2 ][/math]
- Less than 200
- At least 200, but less than 300
- At least 300, but less than 400
- At least 400, but less than 500
- At least 500
Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.