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)
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.
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) | |||||||
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