The Public Housing Authority in a certain community conducted a survey of 1000 families to determine the distribution of families by size. The results are given below.Family SizeFrequency ofOccurrence 318 199 200 12051 25 87(a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. (Enter your answers to three decimal places.)Family Size35678P(X = x)0.350.300.250.200.150.100.05212342 3546(b) Draw the histogram corresponding to the probability distribution found in part (a).0.350.350.300.300.250.250.200.200.150.150.100.100.050.0574 5 6 78318 199 200 120 51 25 87XX0.350.300.250.200.150.100.052233445 6 7 85678XX(c) Find the probability that a family chosen at random from those surveyed has more than five members. (Enter your answer to three decimal places.)

The Public Housing Authority in a certain community conducted a survey of 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 318 199 200 120 51 25 87 (a) Find the probability distribution of the random variable X, where X denotes the number of people in a randomly chosen family. (Enter your answers to three decimal places.) Family Size 2 3 5 6 7 8 P(X = x) (b) Draw the histogram corresponding to the probability distribution found in part (a). 0.35 0.35 0.30 0.30 0.25 0.25 0.20 0.20 0.15 0.15 0.10 0.10 0.05 0.05 O 4 0.35 0.30 0.25 0.20 0.15 0.10 0.05 1 2 3 4 5 6 7 318 199 200 120 51 25 87 X X O 0.35 0.30 0.25 0.20 0.15 0.10 0.05 O 2 3 4 5 6 7 8 2 3 4 5 6 7 8 x X O (c) Find the probability that a family chosen at random from those surveyed has more than five members. (Enter your answer to three decimal places.)