More than half of the 236 million people who have been diagnosed with COVID-19 worldwide since December 2019 will experience post-COVID symptoms -- more commonly known as 'long COVID' -- up to six months after recovering, according to researchers. The research team said that governments, health care organizations and public health professionals should prepare for the large number of COVID-19 survivors who will need care for a variety of psychological and physical symptoms." In a certain area in Pennsylvania, 70% of adult recovered COVID patients reported having "long-covid" 6 months after they were no longer infectious. A sample of 190 patients is to be taken from this area and studied. Let p-hat be the probability that someone who gets COVID also gets long-COVID.  1) What is the EXACT distribution of X?            2) What is the distribution of p-hat?

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