According to the Republic Act 10868, a centenarian which refers to a Filipino who has reached one hundred years old and above, whether residing in the Philippines or abroad, will receive a cash gift of 100,000 pesos tax free. As of year 2022, there are two centenarians out of 100,000 Filipino. Suppose the age structure in the country does not change in the next year. a. Define the random variable in the problem and identify its distribution. b. What is the probability that there will be more than 1 centenarian in a random sample of 10,000 Filipinos?

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