A loss X is partially insured. The insurance policy has an ordinary deductible 1 of 100. The insurance pays - of loss in excess of 100 up to a loss (not payment) 2 amount of 1000. For a loss X above 1000, the insurance pays X – 550 . You are given the following limited expected values related to the loss variable X. E[X]= 2000 E[X ^900]= 725 E[X A550] = 480 E[X ^ 450] = 400 E[X ^100]=98 E[X ^1000]= 790 Find the expected amount paid by the insurance when a loss occurs.

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A loss X is partially insured. The insurance policy has an ordinary deductible
1
of loss in excess of 100 up to a loss (not payment)
of 100. The insurance pays
amount of 1000. For a loss X above 1000, the insurance pays X – 550. You are
given the following limited expected values related to the loss variable X.
E[X]= 2000
E[X ^ 900] = 725
E[X ^550]= 480
E[X ^ 450]= 400
E[X ^100]=98
E[X ^1000] = 790
Find the expected amount paid by the insurance when a loss occurs.
Transcribed Image Text:A loss X is partially insured. The insurance policy has an ordinary deductible 1 of loss in excess of 100 up to a loss (not payment) of 100. The insurance pays amount of 1000. For a loss X above 1000, the insurance pays X – 550. You are given the following limited expected values related to the loss variable X. E[X]= 2000 E[X ^ 900] = 725 E[X ^550]= 480 E[X ^ 450]= 400 E[X ^100]=98 E[X ^1000] = 790 Find the expected amount paid by the insurance when a loss occurs.
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