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In: Statistics and Probability

An insurance company has the following types of insureds: Type A: high risk insureds with a...

An insurance company has the following types of insureds:

  • Type A: high risk insureds with a mean loss of 3,000 and a standard deviation of 10.
  • Type B: low risk insureds with a mean loss of 1,000 and a standard deviation of 5.

You are given that 40% of the insureds are high risk.

Determine the variance of the amount of loss that the insureds incur.

a) 25

b) 36

c) 55

d) 360,655

e) 960,055

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