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 312 189 200 111 67 14 107 (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 4 5 6 7 8 P(X = x)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 |
312 | 189 | 200 | 111 | 67 | 14 | 107 |
| Family Size | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| P(X = x) |
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