Suppose an insurance firm has three groups of insured people who have claim distribution of the form: 3000 of claims follow an N(μ= 5000; ?2=500000) distribution , 2500 of claims follow an N(μ= 6000; ?2= 600000) distribution, and 4500 of claims follow an N(μ= 7000; ?2= 700000) distribution. i) What is the probability that a random claim will exceed $6,000? ii) Calculate the probability

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Suppose an insurance firm has three groups of insured people who have claim distribution of the form: 3000 of claims follow an N(μ= 5000; ?2=500000) distribution , 2500 of claims follow an N(μ= 6000; ?2= 600000) distribution, and 4500 of claims follow an N(μ= 7000; ?2= 700000) distribution.

i) What is the probability that a random claim will exceed $6,000?

ii) Calculate the probability that a random claim will exceed $8,000?

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