Suppose that 16% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Give your answer as a decimal (to at least 3 places) or fraction
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.
Provided information is, 16% of people own dogs. Two people picked at random.
The situation follows binomial distribution. The random variable X is said to follow binomial distribution if its probability mass function is given as:
Denoted as X~B(n,p)
For provided data, Let X is variable for people owned a dog. n=2 and p=0.16
i.e. X~B(n=2, p=0.16)
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