The Public Housing Authority in a certain community conducted a survey of 1000 f

Question

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. Complete parts a) through c) below.

(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.)

(b) Draw the histogram corresponding to the probability distribution found in part (a).

(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.)

Explanation / Answer

a) Total Frequency = 302+185+200+87+61+12+153 = 1000

X 2 3 4 5 6 7 8
P(X) 302/1000=0.302 0.185 0.2 0.087 0.061 0.012 0.153

b) Option D. The x axis values are correct for option D. X starts from 2 and ends at 8

c) P(X > 5) = P(X=6) + P(X=7) + P(X=8) = 0.061+0.012+0.153 = 0.226

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