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An insurance company sells two types of auto coverage:• Coverage A has a maximum covered loss of 1 , 叩 0.• Coverage B has a maximum covered loss of 1,5 叩The company has received claims of the following sizes:• Coverage A: 500 , 700 , 800 , 900 , and three above 1,000.• Coverage B: 500, 900, 1,200 , 1,300, and one above 1 ,5 00.Estimate the probability that a loss will be greater than 1 ,2 00 but lower than 1 ,5 00 ,based on:

Question

An insurance company sells two types of auto coverage:• Coverage A has a maximum covered loss of 1 , 叩 0.• Coverage B has a maximum covered loss of 1,5 叩The company has received claims of the following sizes:• Coverage A: 500 , 700 , 800 , 900 , and three above 1,000.• Coverage B: 500, 900, 1,200 , 1,300, and one above 1 ,5 00.Estimate the probability that a loss will be greater than 1 ,2 00 but lower than 1 ,5 00 ,based on:

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Solution

To estimate the probability that a loss will be greater than 1,200 but lower than 1,500, we first need to identify the number of claims that fall within this range and the total number of claims.

For Coverage A, none of the claims are within this range. For Coverage B, there are two claims (1,200 and 1,300) within this range.

The total number of claims for Coverage A is 5 (500,

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