Asked Nov 14, 2019

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 315 210 201 85 57 10 122

Find the probability distribution of the random variable X, where X denotes the number of persons in a randomly chosen family. (Give your answers as fractions.)

Family Size 2 3 4 5 6 7 8
P(X = x)              

Expert Answer

Step 1

Given data and calculation of proba...


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Probability P(X) or relative frequency Family size X frequency frequency total 2 315 0.315 210 0.21 3 0.201 4 201 85 5 0.085 0.057 6 57 7 10 0.01 0.122 8 122 Total 1000 1


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