An insurance portfolio is composed of 20% of good risks, 60% of average risks and 20% of bad risks. The claims distribution is a Gamma type, with the following parameters: Risk Type Good a a 3 1 9 2 Average Bad 17 1 The claim record of a randomly selected risk is 4 and 5 in the first two years. (a) Calculate the Bhlmann credibility factor after two years. (b) Calculate the credibility premium for this risk in the third year using the Bhlmann model. An insurance portfolio is composed of 20% of good risks, 60% of average risks and 20% of bad risks. The claims distribution is a Gamma type, with the following parameters: Risk Type Good a a 3 1 9 2 Average Bad 17 1 The claim record of a randomly selected risk is 4 and 5 in the first two years. (a) Calculate the Bhlmann credibility factor after two years. (b) Calculate the credibility premium for this risk in the third year using the Bhlmann model