Asurvey 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.