Econ core econometrics sequenc

 Suppose you run an insurance company that processes claims at 100 regional o¢ ces aroundthe country. Weekly claims at the regional o¢ ces are independent of one another and followa distribution with= 1000and2= 22500. What is the probability that the companyexperiences more than 103,000 claims nationwide in a given week? (hint: Use the centrallimit theorem to get an approximation to the probability)