Question

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.

Answer 1

Explained

Explanation:

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