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The following two groups have the following expected claims distributions: Kerugian/ Loss Kebarangkalian kerugian Probability of Loss Kumpulan / Group A: Ibu-ibu pengendali kilang/ Factory

The following two groups have the following expected claims distributions:

Kerugian/

Loss

Kebarangkalian kerugian

Probability of Loss

Kumpulan / Group A:

Ibu-ibu pengendali kilang/ Factory operator mums

RM15,000

.15

RM7,500

.20

RM2,000

.25

RM0

.40

Kumpulan / Group B:

Suri rumah / Stay-at-home mums

RM15,000

.06

RM7,500

.12

RM2,000

.28

RM0

.52

  1. What are the expected claims costs for group A and group B, respectively?
  2. What are the expected average claims cost per policy for a pool in which 50% of the participants have claims distributions identical to group A and 50% have claims distributions identical to group B.
  3. If insurers cannot distinguish the high- and low-risk groups, what is the potential problem with charging everyone in the pool a premium equal to the expected average claims costs?

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