You have been hired by the political party called Politicool to help them analyse some election results. At the election, there were four parties running and 837 votes were cast. Of these, Politcool received 324, while the remaining parties got 264, 162 and 87. Suppose you randomly select 100 people to interview about their vote and the number of people in this sample is represented by the random variable X. Find the distribution of X, justifying your choice. That is, you must explain why the situation matches all assumptions for the distribution.