Q4. Let N be the number of insurance claims per year, and N is following a...

Transcribed Image Text:

Q4. Let N be the number of insurance claims per year, and N is following a Poisson distribution, with a rate of A = 10000 year. We are interested in the probability that the number of insurance claims per year is larger than 10200. 1. Write down the equation to calculate the probability P(N > 10200). 2. Explain with it is undesirable to calculate this without software or approximations. 3. Use R to calculated P(N > 10200). 4. Write the equation of the normal approximation of this Poisson distribution and calculate P(N > 10200). You may use R to calculate edf or pdf for the Normal distribution. 5. Comment on the approximation of the Poisson-distribution with a Normal-distribution. Q4. Let N be the number of insurance claims per year, and N is following a Poisson distribution, with a rate of A = 10000 year. We are interested in the probability that the number of insurance claims per year is larger than 10200. 1. Write down the equation to calculate the probability P(N > 10200). 2. Explain with it is undesirable to calculate this without software or approximations. 3. Use R to calculated P(N > 10200). 4. Write the equation of the normal approximation of this Poisson distribution and calculate P(N > 10200). You may use R to calculate edf or pdf for the Normal distribution. 5. Comment on the approximation of the Poisson-distribution with a Normal-distribution.