Suppose an insurance firm has three groups of insured people who have claim distribution of the form: 3000 of claims follow a N(u = 110,, o = 100) distribution , 2500 of claims folow a N(u = 120,, o =...

Extracted text: Suppose an insurance firm has three groups of insured people who have claim distribution of the form: 3000 of claims follow a N(u = 110,, o = 100) distribution , 2500 of claims folow a N(u = 120,, o = 200) distributions and 4500. of claims folow a N(u = 130, o = 300) i) What is the probability that a random claim will exceed $6,000? ii) Use CLT to caleulate the probability that a random claim will exceed $10,000. [100 S = 200 -0 -0 300