Consider an insurance portfolio that consists of two homogeneous groups of clients. Let N₂, (i=1.2) be the number of claims occurred in the ith group. Suppose that N₁ and N₂ are independent and both follow a Poisson distribution. Assume E {N₁} = 300 and E {N₂}: = 700. The size of each individual claim from the first group is 10 (units of money) with probability 0.6, and 20 (units of money) with probability 0.4, The size of each individual claim from the second group is 20 (units of money) with probability 0.3, and 30 (units of money) with probability 0.7. Let N be the total number of claims, and let S be the total aggregate claim. Answer the questions 9-17. Q9 What is the distribution of N? Poisson O Gamma Q10 Uniform Normal O Exponential What in the mean and variance of N? O 300 and 300 O 1,000 and 1,000 O 700 and 700 O 23,100 and 23,100

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