A survey was conducted by the Public Housing Authority in a certain community among 1000 families to determine the distribution of families by size. The results are given below. Family Size 2 3 4 5 6 7 8 Frequency of Occurrence 302 184 214 113 80 15 92 (a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. Give exact answers.
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